RESEARCH PAPERS
1- M.R. Darafsheh and M. Rajabi Tarkhorani and S. Abbasbandy. The
t-Designs on 13 Points with a Primitive Group of Order 78 as a Group of
Automorphism. J. Inst. Maths. Comp. Sc. (Math.
Ser.) Vol. 5, No. 2,1991, 171-180. MR 1207051, Zbl. 801.05011.
2- S. Abbasbandy and E. Babolian.
Automatic Augmented Galerkin Algorithms for Fredholm
Integral Equations of the First Kind. ACTA Math. Sci. (English
Ed.) Vol. 17, No. 1, 1997, 69-84, MR 98d:65165, Zbl.
0890.65137.
3- S. Abbasbandy and E. Babolian.
Interpolation of Fuzzy Data by Natural Splines. J. Appl.
Math. Comput.
Vol. 5, No. 2, 1998, 457-463, MR 1 625 194, Zbl.
0914.65001.
4- S. Abbasbandy and E. Babolian. An
Automatic Augmented Galerkin Method for Singular
Integral Equations with Hilbert Kernel. J.
Appl. Math. Comput. Vol.
8, No. 2, 2001, 337-345, MR 2002b:65193, Zbl.
0984.65144.
5- S. Abbasbandy. Interpolation of Fuzzy Data by Complete
Splines. J. Appl. Math. Comput. Vol. 8,
No. 3, 2001, 587-594, MR 2002e:65019, Zbl.
pre01686031.
6- S. Abbasbandy and Du Jinyuan.
Numerical Implementation of Cauchy-type Integral Equations. J. Appl.
Math. Comput.
Vol. 9, No. 1, 2002, 253-260, MR
2002j:65131, Zbl. 0995.65144.
7- S. Abbasbandy and B. Asady. Note on "A new approach for
defuzzification". Fuzzy sets and
systems, Vol. 128, No. 1, 2002, 131-132, MR 1 903 238, Zbl. pre01809951.
8- S. Abbasbandy and M.A. Fariborzi Araghi. A Reliable
Method to Determine the Ill-Condition Functions Using Stochastic Arithmetic. Southwest
J. of Pure and Applied Mathematics, No. 1, June 2002, 33-38, MR 1
911 140, Zbl. Pre01925195.
9- S. Abbasbandy and M.A. Fariborzi Araghi. Numerical
Solution of Improper Integral with Valid Implementation. Mathematical &
Computational Applications, Vol. 7, No. 1, 2002, 83-91, MR 1 916
609, Zbl. 1012.65022.
10- S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equation
by Runge-Kutta Method and the Intuitionistic
Treatment. Notes on Intuitionistic Fuzzy Sets, Vol. 8, No.3, 2002,
43-53, MR 2026512.
11- S.
Abbasbandy and T. Allah Viranloo.
Numerical Solution of Fuzzy Differential Equations by Taylor Method. J.
of Computational Methods in Applied Mathematics, Vol. 2, No. 2, 2002,
113-124, MR 1 930 841.
12- S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equation.
Mathematical & Computational Applications, Vol. 7, No. 1, 2002,
41-52, MR 1 916 608, Zbl. 1013.65070.
13- S. Abbasbandy and M.A. Fariborzi Araghi. The Valid
Implementation of Numerical Integration Methods. Far East J. of Appl.
Math., Vol. 8, No. 2, 2002, 89-101, MR 1 942 695, Zbl. pre01894902.
14- S. Abbasbandy. Improving Newton-Raphson
Method for Nonlinear Equations by Modified Adomian
Decomposition Method. Applied Mathematics and Computation, Vol. 145, No.
2-3, 2003, 887-893, MR 2 009 307.
15- S. Abbasbandy and T. Allah Viranloo. Extrapolation Method for Improving the Solution
of Fuzzy Initial Value Problems. Mathematical & Computational
Applications, Vol. 9, No. 2, 2004, 205-214, MR 1 999 813.
16- S. Abbasbandy and M.A. Fariborzi Araghi. The Use of the
Stochastic Arithmetic to Estimate the Value of Interpolation Polynomial with
Optimal Degree. Applied Numerical Mathematics, Vol. 50, 2004, 279-290, MR 2074006.
17- S. Abbasbandy and T. Allah Viranloo. Numerical Solutions of Fuzzy Differential
Equation by Runge-Kutta Method. Nonlinear Studies, Vol. 11, No. 1, 2004,
117-129, MR 2058064.
18- K. Maleknejad, F. Mirzaee
and S. Abbasbandy. Solving Linear Integro-Differential
Equations Dystem by Using Rationalized Haar Functions Method. Applied Mathematics and
Computation, Vol. 155,
2004, 317-328.
19- S. Abbasbandy and B. Asady. The Nearest Trapezoidal Fuzzy Number to a Fuzzy
Quantity. Applied Mathematics and Computation, Vol. 156, 2004, 381-386.
20- S. Abbasbandy and B. Asady. Newton's
Method for Solving Fuzzy Nonlinear Equations.
Applied Mathematics and Computation, Vol. 159, 2004, 349-356.
21- S. Abbasbandy, T. Allah Viranloo, Oscar
Lopez-Pouso and Juan J. Nieto. Numerical Methods for
Fuzzy Differential Inclusions. Comput.
Math. Appl., Vol. 48, 2004, 1633-1641.
22- E. Babolian, H. Sadeghi and S. Abbasbandy. Numerical solution of linear Fredholm fuzzy
integral equations of the second kind by Adomian
method. Applied Mathematics and
Computation, Vol. 161, 2005, 733-744.
23- S. Abbasbandy and M.T. Darvishi. A numerical solution of Burgers' equation by
modified Adomian method, Applied Mathematics and
Computation, Vol. 163, 2005, 1265-1272.
24-
S. Abbasbandy and M.T. Darvishi. A numerical solution
of Burgers' equation by time discretization of Adomian’s
decomposition method, Applied Mathematics and Computation, Vol. 170,
2005, 95-102.
25-
B. Asady, S. Abbasbandy and
M. Alavi. Fuzzy General Linear Systems, Applied
Mathematics and Computation, Vol. 169, 2005, 34-40.
26-
S. Abbasbandy. Extended Newton's method for a system
of nonlinear equations by modified Adomian
decomposition method, Applied Mathematics and Computation, Vol. 170,
2005, 648-656.
27-
S. Abbasbandy and M.A. Fariborzi
Araghi. A Stochastic Scheme for Solving Definite
Integrals, Applied Numerical Mathematics, Vol. 55, 2005, 125-136.
28-
S. Abbasbandy, A. Jafarian
and R. Ezzati. Conjugate Gradient Method for Fuzzy
Symmetric Positive Definite System of Linear Equations, Applied Mathematics
and Computation, Vol. 171, 2005, 1184-119.
29-
S. Abbasbandy. Modified homotopy
perturbation method for nonlinear equations and comparison with Adomian decomposition method, Applied Mathematics and
Computation, Vol. 172, 2006, 431-438.
30-
S. Abbasbandy. Homotopy perturbation method for
quadratic Riccati differential equation and
comparison with Adomian's decomposition method, Applied
Mathematics and Computation, Vol. 172, 2006, 485-490.
31-
S. Abbasbandy, R. Ezzati
and A. Jafarian. LU Decomposition Method for Solving
Fuzzy System of Linear Equations, Applied Mathematics and Computation,
Vol. 172, 2006, 633-643.
32-
S. Abbasbandy and M. Amirfakhrian.
The nearest approximation of a Fuzzy quantity in parametric form, Applied
Mathematics and Computation, Vol. 172, 2006, 624-632.
33-
S. Abbasbandy and B. Asady.
Ranking of fuzzy numbers by sign distance, Information Sciences, Vol.
176, 2006, 2405-2416.
34- S. Abbasbandy, Juan J. Nieto and M. Alavi.
Tuning of reachable set in one dimensional fuzzy differential inclusions, Chaos, Solitons & Fractals, Vol. 26,
2005, 1337-1341.
35- S. Abbasbandy, A new
decomposition method based on infinite products. Kybernetes,
Vol. 34, 2005,1027-1033.
36- S. Abbasbandy,
Numerical solutions of the integral equations: Homotopy perturbation method and
Adomian's decomposition method, Applied
Mathematics and Computation, Vol. 173, 2006, 493-500.
37- H. Sadeghi Goghary and
S. Abbasbandy. Interpolation of fuzzy data by Hermite
polynomial. Int. J. Comput. Math. Vol. 82,
2005, 595-600.
38- S. Abbasbandy and A. Jafarian. Steepest Descent Method for Solving Fuzzy
Nonlinear Equations, Applied Mathematics and Computation, Vol. 174,
2006, 669-675.
39- S. Abbasbandy and M. Amirfakhrian.
Numerical approximation of fuzzy functions by fuzzy polynomials, Applied
Mathematics and Computation, Vol. 174, 2006, 1001-1006.
40- S. Abbasbandy, E. Babolian and M. Allame. Numerical solution of fuzzy max-min systems, Applied
Mathematics and Computation, Vol. 174, 2006,1321-1328.
41- S. Abbasbandy, Juan J.
Nieto and M. Amirfakhrian. Best approximation of
fuzzy functions, Nonlinear Studies, Vol. 14, No. 1, 2007, 87-102.
42-
S. Abbasbandy. Iterated He's homotopy
perturbation method for quadratic Riccati
differential equation. Applied Mathematics and Computation, Vol. 175,
2006, 581-589.
43-
S. Abbasbandy and M. Amirfakhrian.
A new approach to universal approximation of fuzzy functions on a discrete set
of points. Applied Mathematical Modelling, Vol. 30, 2006, 1525-1534.
44-
S. Abbasbandy and A. Jafarian.
Steepest descent method for system of fuzzy linear equations. Applied
Mathematics and Computation, Vol. 175, 2006, 823-833.
45-
S. Abbasbandy and R. Ezzati.
Newton's method
for solving a system of fuzzy nonlinear equations. Applied Mathematics and Computation, Vol.
175, 2006, 1189-1199.
46-
S. Abbasbandy. Application of He's homotopy perturbation method for Laplace
transform. Chaos, Solitons & Fractals, Vol. 30, 2006, 1206-1212.
47-
S. Abbasbandy, E. Babolian
and M. Alavi. Numerical method for solving linear Fredholm
fuzzy integral equations of the second kind. Chaos, Solitons & Fractals, Vol. 31, 2007, 138-146.
48-
S. Abbasbandy, Application of He's homotopy perturbation method to functional integral
equations. Chaos, Solitons & Fractals, 31 (2007) 1243-1247.
49-
S. Abbasbandy and T. Allahviranloo.
The Adomian decomposition method applied to the fuzzy
system of Fredholm integral equations of the second kind, International
Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 14,
2006, 101-110.
50-
S. Abbasbandy. A numerical solution of Blasius
equation by Adomian's decomposition method and
comparison with homotopy perturbation method. Chaos, Solitons & Fractals,Vol. 31,
2007, 257-260.
51-
S. Abbasbandy and M. Otadi.
Numerical solution of fuzzy polynomials by fuzzy neural network. Applied
Mathematics and Computation, Vol. 181, 2006, 1084-1089.
52-
M. Soleimani-damaneh, G.R. Jahanshahloo
and S. Abbasbandy. Computational and theoretical
pitfalls in some current performance measurement techniques; and a new
approach. Applied Mathematics and
Computation, Vol. 181, 2006,
1199-1207.
53-
S. Abbasbandy and M. Amirfakhrian.
The nearest trapezoidal form of a generalized left right fuzzy number. Internat.
J. Approx. Reason., Vol. 43, 2006, 166-178.
54-
S. Abbasbandy, J.J. Nieto, R. Ezzati
and R.Rodriguez-Lopez. Newton's method for solving
quadratic fuzzy equations. Adv. Theor. Appl.
Math., Vol. 1, 2006, 1-8.
55-
S. Abbasbandy and R. Ezzati.
Homotopy method for solving fuzzy nonlinear equations, Applied Science,
Vol. 8, 2006, 1-7.
56-
A. Razani and S. Abbasbandy.
A fixed point theorem on the fuzzy number space, Applied Science, Vol.
8, 2006, 142-145.
57-
S. Abbasbandy, E. Babolian
and M. Allame. The Chebychev
best approximation for unsolvable systems of Max-Min fuzzy equations, Nonlinear
Studies, Vol. 13, No. 2, 2006, 123-129.
58-
Yue Tan and S. Abbasbandy. Homotopy analysis method
for quadratic Riccati differential equation. Commun.
Nonlinear Sci. Numer. Simul. Vol. 13,
2008, 539-546.
59-
S. Abbasbandy. An approximation solution of a
nonlinear equation with Riemann-Liouville's fractional derivatives by He's
variational iteration method, J. Comput. Appl.
Math. Vol. 207, 2007, 53-58.
60-
S. Abbasbandy. A new application of He's variational
iteration method for quadratic Riccati differential
equation by using Adomian's polynomials, J. Comput. Appl. Math. Vol. 207, 2007. 59-63.
61-
S. Abbasbandy. The application of homotopy
analysis method to nonlinear equations arising in heat transfer, Phys. Lett.
A, Vol. 360, 2006, 109-113.
62-
S. Abbasbandy and M. Otadi.
Fuzzy neural network approach to fuzzy polynomials, Mathware
& Soft Computing, Vol. 13, No. 2, 2006, 127-134.
63-
S. Abbasbandy and M. Adabitabar
Firozja. Fuzzy linguistic model for interpolation, Chaos, Solitons & Fractals, Vol. 34, 2007, 551-556.
64-
S. Abbasbandy. The application of homotopy
analysis method to solve a generalized Hirota-Satsuma
coupled KdV equation, Phys. Lett. A, Vol. 361, 2007, 478-483.
65-
S. Abbasbandy. Numerical solution of nonlinear
Klein-Gordon equations by variational iteration method, Internat.
J. Numer. Methods Engrg. Vol. 70 , No. 7, 2007, 876-881.
66-
S. Abbasbandy, M. Otadi and
M. Mosleh. Minimal solution of general dual fuzzy
linear systems, Chaos, Solitons & Fractals, Vol. 37, 2008,
1113-1124.
67-
S. Abbasbandy. Homotopy analysis method for heat
radiation equations, Int. Commun. Heat Mass. 34, 2007, 380-387.
68-
S. Abbasbandy, Y. Tan and S.J. Liao. Newton-Homotopy
analysis method for nonlinear equations, Applied Mathematics and Computation,
Vol. 188, 2007, 1794-1800.
69-
S. Abbasbandy, T. Allahviranloo
and R. Ezzati. A method for solving fuzzy general
linear systems, J. Fuzzy Math. 15,
2007, 881-889.
70-
S. Abbasbandy, M. Otadi and
M. Mosleh. Compute eigenvalues and corresponding
eigenvectors of fuzzy symmetric matrix by Jacobian method, Journal of Fuzzy
Mathematics, 16, 2008, 963-971.
71-
S. Abbasbandy and F. Samadian
Zakaria. Soliton solutions for the fifth-order KdV
equation with the homotopy analysis Method, Nonlinear
Dynam. Vol. 51,
2008, 83-87.
72-
S. Abbasbandy, R. Ezzati
and H. Behforooz. Interpolation of fuzzy data by
using fuzzy splines. Internat. J. Uncertain. Fuzziness Knowledge-Based Systems,
Vol. 16, No. 1, 2008, 107-115.
73-
S. Abbasbandy. Homotopy analysis method for generalized
Benjamin-Bona-Mahony equation. Z. Angew. Math.
Phys. (ZAMP), Vol. 59, 2008,
51-62.
74-
S. Abbasbandy and R. Ezzati.
Crisp solution of a system of fuzzy nonlinear equations, Nonlinear Studies,
Vol. 14, No. 1, 2007, 81-86.
75-
R. Ezzati and S. Abbasbandy,
Existence of extremal solutions for fuzzy polynomials and their numerical
solutions, Mathware Soft Comput. Vol. 14, No. 2, 2007, 147-164.
76-
S. Abbasbandy. Solitary wave solutions to the
modified form of Camassa-Holm equation by means of
the homotopy analysis method, Chaos, Solitons
& Fractals, Vol. 39, 2009, 428-435.
77-
S. Abbasbandy. Solitary wave solutions to the Kuramoto--Sivashinsky equation by
means of the homotopy analysis method, Nonlinear Dynam. 52,
2008, 35-40.
78-
S. Abbasbandy. Approximate solution for the nonlinear
model of diffusion and reaction in porous catalysts by means of the homotopy analysis method, Chem. Eng. J. Vol. 136,
2008, 144-150.
79-
E. Babolian, S. Abbasbandy
and F. Fattahzadeh. A numerical method for solving a
class of functional and two dimensional integral equations, Appl. Math. Comput. Vol. 198, 2008, 35-43.
80-
S. Abbasbandy. Soliton solutions for the
Fitzhugh-Nagumo equation with the homotopy analysis
method, Appl. Math. Model. 32,
2008, 2706-2714.
81-
S. Abbasbandy and E.J. Parkes. Solitary smooth
hump solutions of the Camassa--Holm equation by means
of the homotopy analysis method, Chaos, Solitons
& Fractals 36, 2008, 581-591.
82-
S. Abbasbandy and S.J. Liao. A new modification of
false position method based on the homotopy analysis
method. Appl. Math. Mech. Engl. Vol. 29,
2008, 223-228.
83-
S. Abbasbandy, M. Otadi and
M. Mosleh. Numerical solution of a system of fuzzy
polynomials by fuzzy neural network. Inform. Sci. 178, 2008,
1948–1960.
84-
S. Abbasbandy. Numerical method for non-linear wave
and diffusion equations by the variational iteration method, Internat. J. Numer.
Methods Engrg. 73, 2008, 1836-1843.
85-
S. Abbasbandy and A. Shirzadi.
The variational iteration method for a family of fifth-order boundary value
differential equations, Int. J. Non. Dyn. Eng.
Sci. 1 (2009) 39-46.
86- S. Abbasbandy and
E. Shivanian. Application of the Variational
Iteration Method for Nonlinear Volterra's Integro-Differential
equations, Zeitschrift fur Naturforschung A, 63(a), 2008, 538-542.
87-
S. Abbasbandy, M. Yurusoy
and M. Pakdemirli. The analysis approach of boundary
layer equations of power-law fluids of second grade, Zeitschrift
fur Naturforschung A, 63(a), 2008, 564-570.
88-
S. Abbasbandy and A. Shirzadi.
The variational iteration method for a class of eighth-order boundary value
differential equations, Zeitschrift fur Naturforschung A, 63(a), 2008, 745-751.
89-
E.J. Parkes And S. Abbasbandy. Finding the one-loop
solitons solution of the short-pulse equation by means of the homotopy analysis method, Numerical Methods for Partial
Differential Equations 25 (2009) 401-408.
90-
S. Abbasbandy and T. Hajjari,
A new approach for ranking of trapezoidal fuzzy numbers, Computers and
Mathematics with Applications, 57, 2009, 413-419.
91-
S. Abbasbandy and E. Shivanian,
Application of the variational iteration method for system of nonlinear
Volterra’s integro-differential equations, Mathematical
and Computational Applications, 14(2) (2009) 147-158.
92-
S. Abbasbandy and A. Shirzadi.
The series solution of problems in calculus of variations via homotopy analysis method, Zeitschrift
fur Naturforschung A, 64(a) (2009) 30-36.
93-
S. Abbasbandy, T. Hayat, R. Ellahi
and S. Asghar. Numerical results of flow in a third grade fluid between two
porous walls, Zeitschrift fur Naturforschung A, 64(a) (2009) 59-64.
94-
S. Abbasbandy, T. Hayat and K. Maqbool. On series
solution for generalized Falkner-Skan flow of a
FENE-P model, International Journal for Numerical Methods in Fluids, 61
(2009) 698-708.
95-
S. Abbasbandy and E.J. Parkes. Solitary-wave
solutions of the Degasperis-Procesi equation by means
of the homotopy analysis Method, Int. J. Comput. Math. 87 (2010) 2303-2313.
96-
S. Abbasbandy. Homotopy analysis method for the
Kawahara equation, Nonlinear Analysis Series B: Real World Applications,
11 (2010) 307-312.
97-
T. Allahviranloo, S. Abbasbandy,
N. Ahmady and E. Ahmady.
Improved predictor-corrector method for solving fuzzy initial value problems,
Information Sciences, 179 (2009) 945-955.
98-
S. Abbasbandy, E. Ahmady
and N. Ahmady. Triangular approximations of fuzzy
numbers using α-weighted
valuations, Soft Comput. 14 (2010) 71–79.
99-
S. Abbasbandy, T. Hayat, F.M. Mahomed and R. Ellahi. On comparison of exact and series solutions for
thin film flow of a third grade fluid, International Journal for Numerical
Methods in Fluids, 61 (2009) 987-994.
100-
S. Abbasbandy and T. Hayat. Solution of the MHD
Falkner-Skan flow by Hankel-Pade
method, Phys. Lett. A 373 (2009) 731-734.
101-
T. Hayat, S. Noreen, N. Ali and S. Abbasbandy.
Peristaltic motion of Phan-Thien-Tanner fluid in a
planar channel, Numer. Methods Partial
Differential Eq. 28(3) (2012) 737-748.
102-
S. Nadeem, T. Hayat, S. Abbasbandy and M. Ali.
Effects of partial slip on a fourth grade fluid with variable viscosity: an
analytic solution, Nonlinear Analysis: Real World Applications, 11
(2010) 856-868.
103-
S. Abbasbandy and T. Hayat. Solution of the MHD
Falkner-Skan flow by homotopy
analysis method, Commun. Nonlinear Sci. Numer. Simulat. 14 (2009)
3591-3598.
104-
S. Abbasbandy, E. Magyari
and E. Shivanian. The homotopy
analysis method for multiple solutions of nonlinear boundary value problems, Commun. Nonlinear Sci. Numer.
Simulat. 14 (2009) 3530-3536.
105-
S. Abbasbandy and E. Taati.
Numerical solution of the system of nonlinear Volterra integro-differential
equations with nonlinear differential part by the operational Tau method and
error estimation, J. Comput. Appl. Math. 231
(2009) 106-113.
106-
S. Abbasbandy, M. Pakdemirli
and E. Shivanian. Optimum path of a flying object
with exponentially decaying density medium, Zeitschrift
fur Naturforschung A, 64(a) (2009) 431-438.
107-
S. Nadeem, S. Abbasbandy, M. Hussain. Series
solutions of boundary layer flow of a micropolar fluid near the stagnation
point towards a shrinking sheet, Zeitschrift
fur Naturforschung A, 64(a) (2009) 575-582.
108- S. Abbasbandy, E. Babolian, M. Ashtiani. Numerical solution of the generalized Zakharov equation by homotopy
analysis method, Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 4114-4121.
109- S. Abbasbandy, E. Shivanian.
Application of variational iteration method for nth-order integro-differential
equations, Zeitschrift fur Naturforschung A, 64(a) (2009) 439-444.
110- J.L.
Lopez, S. Abbasbandy, R. Lopez-Ruiz. Formulas for the
amplitude of the van der Pol limit cycle through the homotopy
analysis method, Scholarly Research Exchange, vol. 2009, Article ID
854060, 2009. (doi:10.3814/2009/854060).
111- S. Abbasbandy, E. Shivanian. Series
solution of the system of integro-differential
equations, Zeitschrift fur Naturforschung A, 64(a) (2009) 811-818.
112- S. Abbasbandy, T. Hayat. On series solutions for MHD plane and
axisymmetric flow near a stagnation point, Mathematical Problems in
Engineering, vol. 2009, Article ID 376174, 2009.}(doi:10.1155/2009/376174).
113- R. Ellahi, S. Abbasbandy, T. Hayat,
A. Zeeshan. On comparison of series and numerical solutions for second Painlevé equation, Numer.
Methods Partial Differential Eq. 26 (2010) 1070-1078.
114- S. Abbasbandy, J.L. Lopez, R. Lopez-Ruiz. The homotopy analysis method and the Lienard
equation, Int. J. Comput. Math. 88 (2011)
121-134.
115- S. Abbasbandy, A. Shirzadi. The
first integral method for modified Benjamin-Bona-Mahony equation, Commun. Nonlinear Sci. Numer.
Simulat. 15 (2010) 1759–1764.
116- S. Abbasbandy, M. Ashtiani, E. Babolian. Analytic solution of the Sharma-Tasso-Olver equation by homotopy
analysis Method, Zeitschrift fur Naturforschung A, 65(a) (2010) 285-290.
117- M. Khan,
S. Munawara, S. Abbasbandy. Steady flow and heat
transfer of a Sisko fluid in annular pipe, Int. J.
Heat Mass Transfer, 53 (2010) 1290-1297.
118- S. Abbasbandy, E. Shivanian. Exact
analytical solution of a nonlinear equation arising in heat transfer, Phys.
Lett. A, 374 (2010) 567-574.
119- S. Abbasbandy, A. Shirzadi. Homotopy
analysis method for multiple solutions of the fractional Sturm-Liouville
problems, Numer. Algor. 54 (2010)
521–532.
120- H. Rouhparvar, S. Abbasbandy, T. Allahviranloo. Existence and uniqueness of solution an
uncertain characteristic Cauchy reaction-diffusion equation by Adomian decomposition method, Mathematical and
Computational Applications 15 (2010) 404-419.
121- S. Abbasbandy, A. Shirzadi. An
efficient method for solving twelfth-order boundary value differential
equations. World Appl. Sci. J. 9 (2010) 49-54.
122- S. Abbasbandy, E. Shivanian.
Prediction of multiplicity of solutions of nonlinear boundary value problems:
novel application of homotopy analysis method, Commun. Nonlinear Sci. Numer.
Simulat. 15 (2010) 3830-3846.
123- S. Abbasbandy, E. Shivanian.
Analysis of the vibration equation by means of the homotopy
analysis method, J. Numer. Math. Stoch. 1
(2009) 77-84.
124- M. Mosleh, M. Otadi, S. Abbasbandy. Evaluation of fuzzy regression models by fuzzy
neural network, J. Comput. Appl. Math. 234
(2010) 825-834.
125- S. Abbasbandy, E. Shivanian. A new
analytical technique to solve Fredholm's integral equations. Numer.
Algor. 56 (2011) 27-43.
126- S. Abbasbandy, T. Hajjari. Weighted
trapezoidal approximation-preserving cores of a fuzzy number, Comput. Math. Appl. 59 (2010) 3066-3077.
127- H. Rouhparvar, T. Allahviranloo, S. Abbasbandy. Existence and uniqueness of fuzzy solution for
linear Volterra fuzzy integral equations, proved by Adomian
decomposition method, Romai J. 5 (2009)
153-161.
128- S. Abbasbandy, H. Roohani Ghehsareh. The He's Variational iteration method for
solving the integro-differential parabolic problem
with integral conditions, Appl. Appl. Math. 5 (2010) 12-23.
129- H. Behforooz, R. Ezzati, S. Abbasbandy. Interpolation of Fuzzy Data by Using E(3)
Cubic Splines. Int. J. Pure Appl. Math. 60 (2010) 383-392.
130- S. Abbasbandy, A. Shirzadi. A new
application of the homotopy analysis method: Solving
the Sturm-Liouville problems, Commun. Nonlinear
Sci. Numer. Simulat. 16
(2011) 112-126.
131- S.K. Khattri, S. Abbasbandy. Optimal
fourth order family of iterative methods, Mat. Vesnik
63 (2011) 67-72.
132- S. Abbasbandy, A. Shirzadi. The
variational iteration method for a class of tenth-order boundary value
differential equations, Int. J. Indust. Math.
2 (2010) 29-36.
133- S. Abbasbandy, A. Shirzadi. A
meshless method for two-dimensional diffusion equation with an integral
condition, Eng. Anal. Bound. Elem. 34 (2010) 1031-1037.
134- K. Parand, S. Abbasbandy, S. Kazem,
A.R. Rezaei. Comparison between two common collocation approaches based on
radial basis functions for the case of heat transfer equations arising in
porous medium, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011)
1396–1407.
135- T. Allahviranloo, S. Abbasbandy, R. Saneifard. A method for ranking of fuzzy numbers using new
weighted distance, Math. Comput. Appl. 16(2)
(2011) 359-369.
136- T. Allahviranloo, S. Abbasbandy, H. Rouhparvar. The exact solutions of fuzzy wave-like
equations with variable coefficients by a variational iteration method, Appl.
Soft Comput. 11 (2011) 2186-2192.
137- S. Abbasbandy, M.S. Hashemi. Fuzzy Intergo-differential
Equation: Formulation and Solution using the Variational Iteration Method, Nonlinear
Sci. Lett. A, Vol. 1, (2010) 413-418.
138- H. Roohani Ghehsareh, B. Soltanalizadeh, S. Abbasbandy. A
matrix formulation to the wave equation with nonlocal boundary condition, Int.
J. Comput. Math. 88 (2011) 1681-1696.
139- S. Abbasbandy, A. Shirzadi. MLPG
method for two-dimensional diffusion equation with Neumann's and non-classical
boundary conditions, Appl. Numer. Math. 61
(2011) 170–180.
140- S. Abbasbandy. Approximate analytical solutions to thermo-poro-elastic equations by means of the iterated homotopy analysis method, Int. J. Comput.
Math. 88 (2011) 1763-1775.
141- S. Abbasbandy, E. Shivanian.
Predictor homotopy analysis method and its application
to some nonlinear problems, Commun.
Nonlinear Sci. Numer. Simulat. 16 (2011) 2456-2468.
142- M.M.
Rashidi, S.A. Mohimanian Pour, S. Abbasbandy.
Analytic approximate solutions for heat transfer of a micropolar fluid through
a porous medium with radiation, Commun.
Nonlinear Sci. Numer. Simulat.
16 (2011) 1874–1889.
143- S. Abbasbandy, E. Shivanian.
Multiple solutions of mixed convection in a porous medium on semi-infinite
interval using pseudo-spectral collocation method, Commun.
Nonlinear Sci. Numer. Simulat.
16 (2011) 2745-2752.
144- T. Hayat,
Rahila Naz, S. Abbasbandy.
On flow of a fourth grade fluid with heat transfer. Internat.
J. Numer. Methods Fluids 67 (2011) 2043-2053.
145- T. Hayat,
Rahila Naz, S. Abbasbandy.
Poiseuille flow of a third grade fluid in a porous medium, Transp. Porous
Med. 87 (2011) 355-366.
146- T. Allahviranloo, S. Abbasbandy, S. Salahshour, A. Hakimzadeh. A new
method for solving fuzzy linear differential equations, Computing 92
(2011) 181-197.
147- M. Pakdemirli, T. Hayat, M. Yurusoy,
S. Abbasbandy, S. Asghar. Perturbation analysis of a
modified second grade fluid over a porous plate, Nonlinear Anal. RWA 12
(2011) 1774-1785.
148- S. Abbasbandy, T. Hayat. On series solution for unsteady
boundary layer equations in a special third grade fluid, Commun.
Nonlinear Sci. Numer. Simulat.
16 (2011) 3140–3146.
149- K. Parand, S. Abbasbandy, S. Kazem,
A.R. Rezaei. An improved numerical method on a class of astrophysics problems
based on Radial basis functions, Phys. Scripta 83 (2011) 015011.
150- T. Allahviranloo, S. Abbasbandy, R. Saneifard. An approximation approach for ranking of fuzzy
numbers with weighted interval-value, Math. Comput.
Appl. 16(3) (2011) 588-597.
151- M. Otadi, M. Mosleh, S. Abbasbandy. Numerical solution of fully fuzzy linear
systems by fuzzy neural network. Soft Computing 15 (2011) 1513-1522.
152- M.S.
Hashemi, S. Abbasbandy. The solution of fuzzy
Volterra-Fredholm intergo-differential equations
using variational iteration method, Int. J. Math. Comput.
10 (2011) 29-38.
153- S. Abbasbandy, T.Allahviranloo, P. Darabi, O. Sedaghatfar.
Variational iteration method for solving n-th
order fuzzy differential equations. Math. Comput.
Appl. 16 (2011) 819-829.
154- S. Abbasbandy, H. Roohani Ghehsareh. Solution of the MHD Falkner-Skan
equation: Variational iteration method coupled with Pade
approximation. Nonlinear Sci. Lett. A
2(1) (2011) 31-36.
155- S. Abbasbandy, E. Shivanian, I.
Hashim. Exact analytical solution of forced convection in a porous-saturated
duct, Commun. Nonlinear Sci. Numer. Simulat. 16 (2011)
3981-3989.
156- S. Abbasbandy, A. Shirzadi. An
unconditionally stable finite difference scheme for equations of conservation
law form, Ital. J. Pure Appl. Math. 37 (2017) 1-4.
157- K. Parand, S. Abbasbandy, S. Kazem,
J. A. Rad. A novel application of radial basis functions for solving a model of
first-order integro-ordinary differential equation. Commun. Nonlinear Sci. Numer.
Simulat. 16 (2011) 4250-4258.
158- A. Sami Bataineh, I. Hashim, S. Abbasbandy,
M.S.M. Noorani. Direct solution of singular
higher-order BVPs by the homotopy analysis method and
its modification, World Appl. Sci. J. 12 (2011) 884-889.
159- C. Chun,
S. Abbasbandy. New application of variational
iteration method for analytic treatment of nonlinear partial differential
equations. World Appl. Sci. J. 16 (12) (2012) 1677-1681.
160- S. Abbasbandy, A. Shirzadi. Homotopy
analysis method for a nonlinear chemistry problem, Stud. Nonlinear Sci.
1 (2010) 127-132.
161- H. Rouhparvar, S. Abbasbandy, T. Allahviranloo. The variational iteration method for exact
solutions of fuzzy heat-like equations with variable coefficients, J. Amer.
Sci. 7(2) (2011) 338-345.
162- S. Abbasbandy, T. Allahviranloo, P. Darabi. Numerical solution of n-th
order fuzzy differential equations by Runge-Kutta
method. Math. Comput. Appl. 16 (2011) 935-946.
163- S. Abbasbandy, V. Sladek, A. Shirzadi, J. Sladek. Numerical
simulations for coupled pair of diffusion equations by MLPG method, CMES: Comput. Model. Eng. Sci. 71 (2011) 15-37.
164- S. Al-Shara', F. Awawdeh, S. Abbasbandy. An automatic scheme on the homotopy
analysis method for solving nonlinear algebraic Equations, Ital. J. Pure
Appl. Math. 37 (2017) 5-14.
165- Y. Aksoy,
M. Pakdemirli, S. Abbasbandy,
H. Boyaci. New perturbation-iteration solutions for
nonlinear heat transfer equations. Internat.
J. Numer. Methods Heat Fluid Flow 22(7) (2012)
814-828.
166- S. Abbasbandy, M.S. Hashemi, C.S. Liu. The Lie-group shooting
method for solving the Bratu equation. Commun. Nonlinear Sci. Numer.
Simulat. 16 (2011) 4238-4249.
167- S. Abbasbandy, E. Shivanian, K. Vajravelu. Mathematical properties of ћ-curve in the frame
work of the homotopy analysis method. Commun. Nonlinear Sci. Numer.
Simulat. 16 (2011) 4268-4275.
168- S. Abbasbandy, M.S. Hashemi. Group preserving scheme for the
Cauchy problem of the Laplace equation, Eng. Anal. Bound. Elem. 35
(2011) 1003-1009.
169- T. Hajjari, S. Abbasbandy. A note on
``The revised method of ranking LR fuzzy number based on deviation degree'', Expert
Syst. Appl. 38 (2011) 13491-13492.
170- M. Mosleh, M. Otadi, S. Abbasbandy. Fuzzy polynomial regression with fuzzy neural
networks, Appl. Math. Model. 35 (2011) 5400-5412.
171- S. Kazem,
J. Amani Rad, K. Parand, S. Abbasbandy.
A new method for solving steady flow of a third grade fluid in a porous half
space based on radial basis functions. Zeitschrift
fur Naturforschung A 66a (2011) 591-598.
172- T. Allahviranloo, S. Salahshour, S. Abbasbandy. Explicit solutions of fractional differential
equations with uncertainty. Soft Computing 16 (2012) 297-302.
173- Ali J. Chamkha, S. Abbasbandy, A.M.
Rashad, K. Vajravelu. Radiation Effects on Mixed
Convection over a Wedge Embedded in a Porous Medium Filled with a Nanofluid. Transp.
Porous Med. 91 (2012) 261-279.
174- S. Kazem,
M. Shaban, S. Abbasbandy. Improved analytical
solutions to a stagnation point flow past a porous stretching sheet with heat
generation. J. Franklin Inst. 348
(2011) 2044-2058.
175- H. Vosughi, E. Shivanian, S. Abbasbandy. A new analytical technique to solve Volterra’s
integral equations. Math. Methods Appl. Sci. 34 (2011) 1243-1253.
176- S. Abbasbandy, C. Bervillier.
Analytic continuations of Taylor series and the boundary value problems of some
nonlinear ordinary differential equations. Appl. Math. Comput.
218 (2011) 2178-2199.
177- M. Maleki, I. Hashim, S. Abbasbandy.
Analysis of IVPs and BVPs on semi-infinite domains via collocation methods. J.
Appl. Math. (2012) Article ID 696574, doi:10.1155/2012/696574.
178- S. Salahshour, T. Allahviranloo, S. Abbasbandy. Solving fuzzy fractional differential equations
by fuzzy Laplace transforms. Commun.
Nonlinear Sci. Numer. Simulat.
17 (2012) 1372-1381.
179- S.M. Rassoulinejad-Mousavi, S. Abbasbandy.
Analysis of forced convection in a circular tube filled with a Darcy-Brinkman-Forchheimer porous medium using spectral homotopy analysis method. J. Fluid Eng. 133 (2011)
101207.
180- S. Abbasbandy, H. Roohani Ghehsareh. Solutions for MHD viscous flow due to a
shrinking sheet by Hankel-Pade method. Internat. J. Numer. Methods Heat
Fluid Flow 23(2) (2013) 388-400.
181- S. Abbasbandy, H. Roohani Ghehsareh. A new semi-analytical solution of the telegraph
equation with integral condition. Zeitschrift fur Naturforschung
A 66a (2011) 760-768.
182- A.
Panahi, S. Abbasbandy, H. Rouhparvar.
A Computational Method for Solving Fuzzy Differential Inclusions. Aust. J.
Basic Appl. Sci. 5(6) (2011) 216-220.
183- R.C. Aziz,
I. Hashim, S. Abbasbandy. Effects of thermocapillarity and thermal radiation on flow and heat
transfer in a thin liquid film on an unsteady stretching sheet. Math. Probl. Eng. vol.
2012, Article ID 127320, 14 pages, 2012. doi:10.1155/2012/127320.
184- A.
Sadeghi, S. Abbasbandy, M.E. Abbasnejad.
The common solution of the pair of fuzzy matrix equations. World Appl. Sci.
J. 15 (2011) 232-238.
185- S. Abbasbandy, E. Shivanian. Exact
analytical solution of the MHD Jeffery-Hamel flow problem. Meccanica
47(6) (2012) 1379-1389.
186- N.F.M.
Noor, S. Abbasbandy, I. Hashim. Heat and mass
transfer of thermophoretic MHD flow over an inclined radiate isothermal
permeable surface in the presence of heat source/sink. Int. J. Heat Mass Transfer 55 (2012)
2122-2128.
187- T. Allahviranloo, S. Abbasbandy, O. Sedaghgatfar, P. Darabi. A new
method for solving fuzzy integro-differential
equation under generalized differentiability. Neural Comput.
Appl. 21(1) (2012) (Suppl 1):S191-S196.
188- T. Hajjari, S. Abbasbandy. A Promoter
Operator for Defuzzification Methods. Aust.
J. Basic Appl. Sci. 5(10) (2011)
1096-1105.
189- S. Abbasbandy, H. Roohani Ghehsareh. Solutions of the MHD flow over a non-linear
stretching sheet and nano boundary layers over stretching surfaces. Internat. J. Numer.
Methods Fluids. 70(10) (2012) 1324-1340.
190- S. Abbasbandy, M.S. Hashemi. A series solution of fuzzy integro-differential equations. J. Fuzzy Set Valued
Anal. Volume 2012 (2012), 1-17.
(http://dx.doi.org/10.5899/2012/jfsva-00066).
191- H. Roohani Ghehsareh, S. Abbasbandy, B. Soltanalizadeh.
Analytical solutions of the slip Magnetohydrodynamik
viscous flow over a stretching sheet by using the Laplace Adomian
Decomposition Method. Zeitschrift fur Naturforschung A 67(a) (2012) 248-254.
192- S. Abbasbandy, M.S. Hashemi, I. Hashim. On convergence of homotopy analysis method and its application to fractional integro-differential equations. Quaest.
Math. 36(1) (2013) 93-105.
193- S. Abbasbandy. Numerical Study on Gas Flow Through a
Micro-Nano Porous Media. Acta Phys. Polon. A
121 (3) (2012) 581-585.
194- H. Vosoughi, E. Shivanian, S. Abbasbandy. Unique and multiple PHAM series solutions of a
class of nonlinear reactive transport model. Numer.
Algor. 61(3) (2012) 515-524.
195- S. Abbasbandy, M.S. Hashemi. Solving fully fuzzy linear
systems by using implicit Gauss-Cholesky algorithm. Comput.
Math. Model. 23(1) (2012) 107-124.
196- S. Samadpoor, H. Roohani Ghehsareh, S. Abbasbandy. An
efficient method to obtain semi-analytical solutions of the nano boundary
layers over stretching surface, Internat.
J. Numer. Methods Heat Fluid Flow 23(7) (2013)
1179-1191.
197- Sh.S. Behzadi, T. Allahviranloo, S. Abbasbandy.
Solving fuzzy second-order nonlinear Volterra–Fredholm integro-differential
equations by using Picard method. Neural Comput.
Appl. 21(1) (2012) (Suppl 1):S337-S346.
198- R. Ellahi, A. Riaz, S. Abbasbandy,
T. Hayat, K. Vafai. A study on the mixed convection
boundary layer flow and heat transfer over a vertical slender cylinder, Thermal
Sci. 18(4) (2014) 1247-1258.
199- A. Shirzadi, L. Ling, S. Abbasbandy.
Meshless simulations of the two-dimensional fractional-time
convection-diffusion-reaction equations. Eng. Anal. Bound. Elem. 36
(2012) 1522-1527.
200- S. Abbasbandy, R. Saneifard. A
method for defuzzification based on central interval and its application in
decision making. J. Amer. Sci. 7(6) (2011) 1263-1271.
201- T. Allahviranloo, S. Abbasbandy, S. Hajighasemi. A new similarity measure for generalized fuzzy
numbers. Neural Comput. Appl. 21(1) (2012)
(Suppl 1):S289-S294.
202- J.A.
Rad, K. Parand, S. Abbasbandy,
D. Modarrespoor. Analytical solution of the
transpiration on the boundary layer flow and heat transfer over a vertical
slender cylinder, Quaest. Math. 36
(2013) 353-380.
203- Sh.S. Behzadi, S. Abbasbandy, T. Allahviranloo, A.
Yildirim. Application of homotopy analysis method for
solving a class of nonlinear Volterra-Fredholm integro-differential
equations. J. Appl. Anal. Comput. 2(2) (2012) 127-136. (http://jaac-online.com/)
204- R. Ellahi, E. Shivanian, S. Abbasbandy, S.U. Rahman, T. Hayat. Analysis of steady flows
in viscous fluid with heat/mass transfer and slip effects. Int. J. Heat Mass
Transfer Transfer 55 (2012) 6384-6390.
205- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. Numerical analysis of a mathematical
model for capillary formation in tumor angiogenesis using a meshfree method
based on the radial basis function. Eng. Anal. Bound. Elem. 36 (2012)
1811-1818.
206- S. Salahshour, S. Abbasbandy, T. Allahviranloo, D. Baleanu.
Existence and uniqueness results for fractional differential equations with
uncertainty. Adv. Differ. Equ. (2012) 2012:112}.
doi:10.1186/1687-1847-2012-112.
207- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. An accurate solution for the steady
flow of third-grade fluid in a porous half space. Walailak
J. Sci. \& Tech. 9(2) (2012) 153-163.
208- M. Maleki, I. Hashim, S. Abbasbandy.
Solution of time-varying delay systems using an adaptive collocation method. Appl.
Math. Comput. 219 (2012) 1434-1448.
209- S. Abbasbandy, T. Hayat, A. Alsaedi,
M.M. Rashidi. Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B
fluid. Internat.
J. Numer. Methods Heat Fluid Flow 24(2) (2014)
390-401.
210- S. Abbasbandy, T. Allahviranloo, P. Darabi, O. Sedaghgatfar. A new
method for solving second-order fuzzy differential equation under generalized
differentiability. Texas J. Sci. 23(4) (2012) 183-191.
211- S. Kazem,
S. Abbasbandy, Sunil Kumar. Fractional-order Legendre
functions for solving fractional-order differential equations. Appl. Math.
Modelling 37(7) (2013) 5498-5510.
212- F. Awawdeh, S. Abbasbandy. Toward a
new algorithm for nonlinear fractional differential equations. Adv. Appl.
Math. Mech. 5(2) (2013) 222-234.
213- Ali J. Chamkha, S. Abbasbandy, A.M.
Rashad, K. Vajravelu. Radiation effects on mixed
convection about a cone embedded in a porous medium filled with a nanofluid. Meccanica 48 (2013) 275-285.
214- I.
Hashim, M. Maleki, M. Tavassoli
Kajani, S. Abbasbandy. An
adaptive pseudospectral method for fractional order
boundary value problems. Abstr. Appl. Anal. Volume 2012, Article ID
381708, 19 pages, doi:10.1155/2012/381708.
215- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. An approximate solution of the MHD
flow over a non-linear stretching sheet by rational Chebyshev collocation
method. Politehn.
Univ. Bucharest Sci. Bull. Ser. A 74(4) (2012) 47-58.
216- K. Vajravelu, K.V. Prasad, S. Abbasbandy.
Convective transport of nanoparticles in a multi-layer fluid flow. Appl.
Math. Mech. 34(2) (2013) 177-188.
217- M.S.
Hashemi, M.C. Nucci, S. Abbasbandy. Group analysis of
the modified generalized Vakhnenko equation. Commun. Nonlinear Sci. Numer.
Simulat. 18 (2013) 867-877.
218- S. Abbasbandy, M. Jalili. Determination of optimal
convergence-control parameter value in homotopy
analysis method. Numer. Algor. 64(4)
(2013) 593--605.
219- S. Abbasbandy, T. Hayat, H. Roohani Ghehsareh, A. Alsaedi. On MHD
Falkner-Skan flow of Maxwell fluid by rational
Chebyshev collocation method, Appl. Math. Mech. Engl. Ed. 34(8) (2013)
921-930.
220- B. Soltanalizadeh, H. Roohani Ghehsareh, A. Yildirim, S. Abbasbandy.
On analytic solution for a steady Magnetohydrodynamic (MHD) equation, Zeitschrift fur Naturforschung A 68a (2013)
412-420.
221- S.M. Rassoulinejad-Mousavi, H.R. Seyf,
S. Abbasbandy. Heat transfer through a porous
saturated channel with permeable walls using two-equation energy model. J.
Porous Media 16(3) (2013) 241-254.
222- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim. A meshfree method for the solution of
two-dimensional cubic nonlinear Schrodinger equation. Eng. Anal. Bound. Elem. 37(6) (2013)
885-898.
223- R.
Lopez-Ruiz, E. Shivanian, S. Abbasbandy,
J.L. Lopez. A generalized continuous model for random markets. Mathematica Aeterna 3(4) (2013) 317-328. (http://www.e-hilaris.com/MA_volume3.html).
224- Sh.S. Behzadi, S. Abbasbandy, T. Allahviranloo. A
study on singular integro-differential equation of
Abel's type by iterative methods, J. Appl. Math. \& Informatics
31(3-4) (2013) 499-511.
225- S. Abbasbandy, B. Azarnavid, I.
Hashim, A. Alsaedi. Approximation of backward heat
conduction problem using gaussian radial basis functions, Univ. Politehn. Bucharest Sci. Bull. Ser. A 75(4) (2014)
67-76.
226- Sh.S. Behzadi, T. Allahviranloo, S. Abbasbandy. The
use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm
integral equations, J. Intelligent & Fuzzy Systems 26(4) (2014)
1817–1822.
227- E. Shivanian, S. Abbasbandy.
Predictor homotopy analysis method: Two points second
order boundary value problems, Nonlinear Anal. Real World Appl. 15
(2014) 89-99.
228- M. Maleki, S.A. Madani Tonekaboni, S. Abbasbandy. A homotopy analysis solution to large deformation of beams
under static arbitrary distributed load, Appl. Math. Modelling 38 (2014)
355–368.
229- A. M.
Rashad, S. Abbasbandy, Ali J. Chamkha.
Non-Darcy natural convection from a vertical cylinder embedded in a thermally
stratified and nanofluid-saturated porous media. J. Heat Transfer 136(2)
(2014) 022503.
230- M.
Mustafa, S. Abbasbandy, S. Hina,
T. Hayat. Numerical investigation on mixed convective peristaltic flow of
fourth grade fluid with Dufour and Soret effects. J.
Taiwan Inst. Chem. Eng. 45 (2014) 308-316.
231- M. Zaini Ahmad, M. Khatim Hasan, S. Abbasbandy. Solving fuzzy fractional differential equations
using Zadeh's extension Principle, The Scientific World Journal, vol.
2013, Article ID 454969, 11 pages, 2013.
232- M. Ghanbari, S. Abbasbandy, T. Allahviranloo. A new approach to determine the
convergence-control parameter in the application of the homotopy
analysis method to systems of linear equations, Appl. Comput.
Math. 12(3)3 (2013) 355--364.
233- S. Abbasbandy, T. Allahviranloo, S. Moloudzadeh. A solution of arbitrary fully fuzzy linear
systems, World Appl. Sci. J. 19(12) (2012) 1731--1745.
(http://www.idosi.org/wasj/wasj19(12)2012.htm).
234- S. Hina, M. Mustafa, S. Abbasbandy,
T. Hayat, A. Alsaedi. Peristaltic motion of nanofluid
in a curved channel, J. Heat Transfer 136(5) (2014) 052001.
235- S. Salahshour, S. Abbasbandy. A
comment on "Global solutions for nonlinear fuzzy fractional integral and integro-differential equations", Commun.
Nonlinear Sci. Numer. Simulat.
19 (2014) 1256-–1258.
236- M.M.
Khader, Sunil Kumar, S. Abbasbandy. New homotopy analysis transform method for solving the
discontinued problems arising in nanotechnology, Chin. Phys. B 22(11)
(2013) 110201.
237- M. Maleki, I. Hashim, S. Abbasbandy.
Pseudo-spectral methods based on nonclassical orthogonal polynomials for
solving nonlinear variational problems, Int. J. Comput.
Math. 91(7) (2014) 1552–1573.
238- T. Allahviranloo, S. Abbasbandy,
M.R. Balooch Shahryari, S. Salahshour, D. Baleanu. On
solutions of linear fractional differential equations with uncertainty, Abstract
and Applied Analysis, vol. 2013, Article ID 178378, 13 pages, 2013.
239- M.
Shaban, E. Shivanian, S. Abbasbandy.
Analyzing magneto-hydrodynamic (MHD) squeezing flow between two parallel disks
with suction or injection by a new hybrid method based on Tau method and
Homotopy analysis method (HAM), European Physical J. Plus. 128 (2013)
133.
240- B. Soltanalizadeh, H. Roohani Ghehsareh, S. Abbasbandy.
development of the tau method for the numerical study of a fourth-order
parabolic partial differential equation, Univ. Politehn.
Bucharest Sci. Bull. Ser. A 75(4) (2013) 165-176.
241- A. Kazemi Nasab, A. Kiliçman, Z. Pashazadeh Atabakan, S. Abbasbandy.
Chebyshev wavelet finite difference method: a new approach for solving initial
and boundary value problems of fractional order, Abstract and Applied
Analysis, Vol. 2013, Article ID 916456, 15 pages, 2013.
242- B. Sahoo,
S. Abbasbandy, S. Poncet. A
brief note on the computation of the Bödewadt flow
with Navier slip boundary conditions, Computers \& Fluids 90 (2014)
133-137.
243- S. Abbasbandy, H. Roohani Ghehsareh, M.S. Alhuthali, H.H. Alsulami. Comparison of meshless local weak and strong
forms based on particular solutions for a non-classical 2-D diffusion model, Eng.
Anal. Bound. Elem. 39 (2014) 121-128.
244- T. Allahviranloo, S. Abbasbandy, Sh.S. Behzadi. Solving nonlinear
fuzzy differential equations by using fuzzy variational iteration method, Soft
Comput. 18 (2014) 2191–2200.
245- B. Soltanalizadeh, H. Roohani Ghehsarehb, S. Abbasbandy. A
super accurate shifted Tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary
conditions. Appl. Math. Comput. 236 (2014)
683-692.
246- T. Allahviranloo, S. Abbasbandy, S. Hashemzehi. Approximating the solution of the linear and
nonlinear fuzzy Volterra integro-differential
equations using expansion method. Abstract and Applied Analysis, vol.
2014, Article ID 713892, 7 pages, 2014.
247- F. Hosseinzadeh Lotfi, Z. Taeb, S. Abbasbandy. Progress and
regress of time dependent data and application in bank branch. Journal of
Applied Mathematics, vol. 2014, Article ID 703969, 9 pages, 2014.
248- S. Abbasbandy, M. Yürüsoy, H. Güllüce. Analytical solutions of non-linear equations of
power-law fluids of second grade over an infinite porous plate. Math. Comput. Appl. 19(2) (2014) 124-133.
249- M.S.
Hashemi, S. Abbasbandy. A geometric approach for
solving Troesch's problem, Bull. Malays. Math.
Sci. Soc. 40 (2017) 97–116.
250- H. Roohani Ghehsareh, S. Abbasbandy, M.A. Kutbi, A. Zaghian. A comparative study between two explicit and
minimal strategies for the case of magnetohydrodynamical Falkner-Skan flow over a permeable wall, Zeitschrift
für Naturforschung A
69a (2014) 263-272.
251- E. Shivanian, S. Abbasbandy, M.S. Alhuthali. Exact analytical solution to the
Poisson-Boltzmann equation for semiconductor devices. Eur. Phys. J. Plus
(2014) 129: 104.
252- M.
Nawaz, A. Zeeshan, R. Ellahi, S. Abbasbandy,
S. Rashidi. Joules and Newtonian heating effects on stagnation point flow over
a stretching surface by means of genetic algorithm and Nelder-Mead
method, Internat. J. Numer.
Methods Heat Fluid Flow 25(3) (2015) 665--684
253- S. Kumar,
D. Kumar, S. Abbasbandy, M.M. Rashidi. Analytical
solution of fractional Navier-Stokes equation by using modified Laplace
decomposition method. Ain Shams Eng. J. 5 (2014) 569-574.
254- S. Abbasbandy, H. Roohani Ghehsareh, I. Hashim, A. Alsaedi.
A comparison study of meshfree techniques for solving the two-dimensional
linear hyperbolic telegraph equation. Eng. Anal. Bound. Elem. 47 (2014)
10-20.
255- H. Saberi Nik, M. Moghtadaei, S. Abbasbandy. A spectral method for the electrohydrodynamic
flow in a circular cylindrical conduit, Chin. Ann. Math. Ser. B 36B(2)
(2015) 307-322.
256- A.M. Rashad,
S. Abbasbandy, A.J. Chamkha.
Mixed convection flow of a micropolar fluid over a continuously moving vertical
surface immersed in a thermally and solutally
stratified medium with chemical reaction, J. Taiwan Inst. Chem. Engrs. 45 (2014) 2163-–2169.
257- J.A. Rad,
K. Parand, S. Abbasbandy.
Local weak form meshless techniques based on the radial point interpolation
(RPI) method and local boundary integral equation (LBIE) method to evaluate
European and American options, Commun.
Nonlinear Sci. Numer. Simulat.
22 (2015) 1178–1200.
258- M.M.
Rashidi, F. Mohammadi, S. Abbasbandy, Mohammed S. Alhuthali. Entropy generation analysis for stagnation point
flow in a porous medium over a permeable stretching surface. J. Appl. Fluid Mech. 8(4) (2015)
753-765.
259- S.M. Rassoulinejad-Mousavi, S. Abbasbandy,
H.H. Alsulami. Analytical flow study of a conducting
Maxwell fluid through a porous saturated channel at various wall boundary
conditions. Eur. Phys. J. Plus 129 (2014) 181.
260-M.M.
Rashidi, B. Rostami, N. Freidoonimehr, S. Abbasbandy. Free convective heat and mass transfer for MHD
fluid flow over a permeable vertical stretching sheet in the presence of the
radiation and buoyancy effects. Ain Shams Eng. J. 5 (2014) 901-912.
261- S. Abbasbandy, R. Naz, T. Hayat, A. Alsaedi.
Numerical and analytical solutions for Falkner-Skan
flow of MHD Maxwell fluid. Appl. Math. Comput.
242 (2014) 569-575.
262- R. Ellahi, E. Shivanian, S. Abbasbandy, T. Hayat. Analysis of some magnetohydrodynamic
flows of third order fluid saturating porous space, J. Porous Media
18(2) (2015) 89–98.
263- A.G. Johnpillai, F.M. Mahomed, S. Abbasbandy.
Fundamental solution via invariant approach for a brain tumor model and its
extensions, Zeitschrift für
Naturforschung A 69a (2014) 725-732.
264- S. Abbasbandy, B. Azarnavid, M.S. Alhuthali. A shooting reproducing kernel Hilbert space
method for multiple solutions of nonlinear boundary value problems, J. Comput. Appl. Math. 279 (2015) 293–305.
265- E. Shivanian, S. Abbasbandy, A. Alsaedi. Multiplicity results and closed-form solution for
catalytic reaction in a flat particle. J. Taiwan Inst. Chem. Eng. 48
(2015) 49-55.
266- S. Abbasbandy, S. Kazem, M.S. Alhuthali,
H.H. Alsulami. Application of the operational matrix
of fractional-order Legendre functions for solving the time-fractional
convection-diffusion equation, Appl. Math. Comput.
276 (2015) 31-40.
267- A. Jafarian, S. Measoomy, S. Abbasbandy. Artificial neural networks based modeling for
solving Volterra integral equations system, Appl. Soft Computing 27
(2015) 391–398.
268- J.A.
Rad, K. Parand, S. Abbasbandy.
Pricing European and American Options Using a Very Fast and Accurate Scheme:
The meshless Local Petrov-Galerkin Method. Proc.
Nat. Acad. Sci. India Sect. A 85(3) (2015) 337-351.
269- A.J. Chamkha, S. Abbasbandy, A.M.
Rashad. Non-Darcy natural convection flow for non-Newtonian nanofluid over cone
saturated in porous medium with uniform heat and volume fraction fluxes, Internat. J. Numer.
Methods Heat Fluid, 25(2) (2015) 422--437.
270- M. Maleki, I. Hashim, S. Abbasbandy,
A. Alsaedi. Direct solution of a type of constrained
fractional variational problems via an adaptive pseudospectral
method, J. Comput. Appl. Math. 283 (2015)
41–57.
271- E. Shivanian, S. Abbasbandy, M.S. Alhuthali, H.H. Alsulami. Local
integration of 2-D fractional telegraph equation via moving least squares
approximation, Eng. Anal. Bound. Elem. 56 (2015) 98-105.
272- E. Shivanian, H.H. Alsulami, M.S. Alhuthali, S. Abbasbandy.
Predictor homotopy analysis method (PHAM) for nano
boundary layer flows with nonlinear Navier boundary condition: existence of
four solutions, Filomat 28:8 (2014)
1687-–1697.
273- S.Gh. Hosseini, S. Abbasbandy.
Solution of Lane-Emden type equations by combination of the spectral method and
Adomian decomposition method, Mathematical
Problems in Engineering, Vol. 2015, Article ID 534754, 10 pages, 2015.
274- S. Abbasbandy, R.A. Van Gorder, M. Hajiketabi, M. Mesrizadeh.
Existence and numerical simulation of periodic traveling wave solutions to the
Casimir equation for the Ito system. Commun.
Nonlinear Sci. Numer. Simulat. 27 (2015) 254–262.
275- S. Abbasbandy, R.A. Van Gorder, M. Hajiketabi. The Lie-group shooting method for radial
symmetric solutions of the Yamabe equation. CMES: Comput. Model. Eng. Sci. 104(4) (2015) 329-351.
276- M. Shafiee, S. Abbasbandy, T. Allahviranloo. Predictor-Corrector method for nonlinear
fuzzy Volterra integral equations. Aust. J. Basic Appl. Sci. 5(12)
(2011) 2865-2874.
277- F.
Abbasi, T. Allahviranloo, S. Abbasbandy.
A new attitude coupled with fuzzy thinking to fuzzy rings and fields. J.
Intelligent & Fuzzy Systems 29(2) (2015) 851–861.
278- M.S.
Hashemi, S. Abbasbandy, M.S. Alhuthali,
H.H. Alsulami. Conservation laws and symmetries of mKdv–KP equation. Romanian J. Phys. 60(7-8) (2015)
904-917.
279- S. Abbasbandy, B. Azarnavid. Some
error estimates for the reproducing kernel Hilbert spaces method. J. Comput. Appl. Math. 296 (2016) 789–797.
280- B. Azarnavid, F. Parvaneh, S. Abbasbandy. Picard-reproducing kernel Hilbert space method
for solving generalized singular nonlinear Lane-Emden type equations. Math. Model. Anal. 20(6) (2015)
754-767.
281- H. Rouhparvar, S. Abbasbandy.
Numerical solution of the uncertain characteristic Cauchy reaction-diffusion
equation by variational iteration method. Walailak
J. Sci. & Tech. 11(11) (2014) 987-998.
282- H. Roshanfekr Varazgahi, S. Abbasbandy. Modified fractional Euler method for solving
fuzzy sequential fractional initial value problem under
H-differentiability. J. Fuzzy Set
Valued Anal. Volume 2015, No. 2 (2015) 110-121.
283- A.
Mushtaq, S. Abbasbandy, M. Mustafa, T. Hayat, A. Alsaedi. Numerical solution for Sakiadis
flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model. Aip
Advances 6(1) (2016) 015208.
284- S. Abbasbandy, E. Shivanian, K. Vajravelu, Sunil Kumar. A new approximate analytical
technique for dual solutions of nonlinear differential equations arising in
mixed convection heat transfer in a porous medium, Internat.
J. Numer. Methods Heat Fluid Flow 27(2) (2017)
486 – 503.
285- S. Abbasbandy, P. Bakhtiari, A. Cordero, J.R. Torregrosa, T. Lotfi. New
efficient methods for solving nonlinear systems of equations with arbitrary
even order. Appl. Math. Comput. 287-288 (2016)
94-103.
286- H. Vosoughi, S. Abbasbandy.
Interpolation of fuzzy data by cubic and piecewise-polynomial cubic Hermites. Indian J. Sci. Technol. 9(8) (2016) 6
Pages.
287- M.
Khader, Sunil Kumar, S. Abbasbandy. Fractional homotopy analysis transforms method for solving a
fractional heat-like physical model. Walailak
J. Sci. \& Tech. 13(5) (2016) 337--353.
288- R. Ellahi, E. Shivanian, S. Abbasbandy, T. Hayat. Numerical study of
magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat
transfer and slip condition. Internat. J. Numer.
Methods Heat Fluid Flow 26(5) (2016) 1433--1445.
289- N.F.M.
Noora, R. Ul Haq, S. Abbasbandy,
I. Hashim. Heat flux performance in a porous medium embedded Maxwell fluid flow
over a vertically stretched plate due to heat absorption. J. Nonlinear Sci. Appl. 9(5) (2016)
2986—3001.
290- S. Abbasbandy, E. Shivanian.
Numerical simulation based on meshless technique to study the biological
population model. Math. Sci. 10 (2016) 123—130.
291- M.J.
Uddin, M.M. Rashidi, Hamed H. Alsulami, S. Abbasbandy, N. Freidoonimeh. Two
parameters Lie group analysis and numerical solution of unsteady free
convective flow of non-Newtonian fluid, Alexandria Eng. J. 55(3) (2016)
2299—2308.
292- S. Abbasbandy, R.A. Van Gorder, P.
Bakhtiari. Reproducing kernel method for the numerical solution of the
Brinkman–Forchheimer momentum equation, J. Comput. Appl. Math. 311 (2017) 262-271.
293- Sh. Sadigh Behzadi, B. Vahdani, T. Allahviranloo, S. Abbasbandy. Application of fuzzy Picard method for solving
fuzzy quadratic Riccati and fuzzy Painleve
I equations, Appl. Math. Modelling 40(17-18) (2016) 8125-8137.
294- A.K. Alomari, F. Awawdeh, S. Abbasbandy, O. Alsayyed, F. Bani
Ahmad. Analysis of steady three dimensional hydromagnetic stagnation point flow
towards a stretching sheet with heat generation, Ital. J. Pure Appl. Math.
36 (2016) 179-194.
295- F.
Abbasi, S. Abbasbandy, J.J. Nieto. A new and
efficient method for elementary fuzzy arithmetic operations on
pseudo--geometric fuzzy numbers. J. Fuzzy Set Valued Anal. Volume 2016,
No. 2 (2016) 156-173.
296- Z. Gouyandeh, T. Allahviranloo, S. Abbasbandy, A. Armand. A fuzzy solution of heat equation
under generalized Hukuhara differentiability by fuzzy
Fourier transform, Fuzzy Sets and Systems, 309 (2017) 81-97.
297- H. Vosoughi and S. Abbasbandy.
Cardinal basis piecewise Hermite interpolation on fuzzy data, Advances in
Fuzzy Systems, Vol. 2016 (2016) Article ID 8127215, 8 pages.
298- M
Khaleghi, E. Babolian, S. Abbasbandy.
Chebyshev reproducing kernel method: application to two-point boundary value
problems, Advances in Difference Equations (2017) 2017:26.
299- S. Abbasbandy, E. Shivanian. Exact
closed form solutions to nonlinear model of heat transfer in a straight fin, Int.
J. Thermal Sci. 116 (2017) 45-51.
300- S. Abbasbandy. A new class of polynomial functions equipped
with a parameter, Math. Sci. 11(2) (2017) 127-130.
301- S. Farzaneh Javan, S. Abbasbandy,
M.A. Fariborzi Araghi.
Application of reproducing kernel Hilbert space method for solving a class of
nonlinear integral equations, Mathematical Problems in Engineering,
Volume 2017, Article ID 7498136, 10 pages.
302- M. Abolhasani, S. Abbasbandy, T. Allahviranloo. A new variational iteration method for a
class of fractional convection—diffusion equations in large domains, Mathematics
5(2) (2017) 26.
303- A.
Armand, T. Allahviranloo, S. Abbasbandy
and Z. Gouyandeh. Fractional relaxation-oscillation
differential equations via fuzzy variational iteration method, Journal of
Intelligent & Fuzzy Systems 32(1) (2017) 363-371.
304- M. Abolhasani, S. Abbasbandy, T. Allahviranloo. Variational iteration method for fractional
wave--like and heat--like equations in large domains, Journal of
Mathematical Analysis 8(2) (2017) 34-50.
305- D. Rostamy, M. Emamjome, S. Abbasbandy. A meshless technique based on the pseudospectral radial basis functions method for solving
the two-dimensional hyperbolic telegraph equation, Eur. Phys. J. Plus
132 (2017) 263.
306- M. Paripour, L. Karimi, S. Abbasbandy.
Differential transform method for Volterra’s population growth model, Nonlinear
Studies 24(1) (2017) 227-234.
307- H. Sahihi, S. Abbasbandy, T. Allahviranloo. Reproducing kernel method for solving
singularly perturbed differential-difference equations with boundary layer
behavior in Hilbert space, J. Comput. Appl. Math.
328 (2018) 30-43.
308- H. Nojavan, S. Abbasbandy, T. Allahviranloo. Variable shape parameter strategy in local
radial basis functions collocation method for solving the 2D nonlinear coupled
Burgers’ equations, Mathematics 5(3) (2017) 38.
309- H.
Farahani, M. Paripour, S. Abbasbandy.
Resolution of single-variable fuzzy polynomial equations and an upper bound on
the number of solutions, Soft Comput. 23(3)
(2019) 837-–845.
310- S. Abbasbandy, M. Mustafa. Analytical and numerical approaches
for Falkner-Skan flow of MHD Maxwell fluid using a
non-Fourier heat flux model, Internat. J. Numer. Methods Heat Fluid Flow 28(7) (2018) 1539—1555.
311- A. Baseri, E. Babolian, S. Abbasbandy. Normalized Bernstein polynomials in solving
space-time fractional diffusion equation, Advances in Difference Equations
(2017) 2017:346.
312- M. Hajiketabi, S. Abbasbandy, F.
Casas. The Lie-group method based on radial basis functions for solving
nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in
arbitrary domains, Appl. Math. Comput. 321
(2018) 223-243.
313- E. Shivanian, S. Abbasbandy. Multiple
solutions of a nonlinear reactive transport model using least square
pseudo-spectral collocation method, Int. J. Nonlinear Anal. Appl. 9(2)
(2018) 47—57.
314- M. Hajiketabi, S. Abbasbandy. The
combination of meshless method based on radial basis functions with a geometric
numerical integration method for solving partial differential equations:
Application to the heat equation, Eng. Anal. Bound. Elem. 87 (2018) 36-46.
315- A. Baseri, S. Abbasbandy, E. Babolian. A collocation method for fractional diffusion
equation in a long time with Chebyshev functions, Appl. Math. Comput. 322 (2018) 55-65.
316- B. Azarnavid, K. Parand, S. Abbasbandy. An iterative kernel based method for fourth
order nonlinear equation with nonlinear boundary condition, Commun.
Nonlinear Sci. Numer. Simulat.
59 (2018) 544-552.
317- M. Hajiketabi, R.A. Van Gorder, S. Abbasbandy. Closed-form exact solutions to the density
dependent Fitzhugh-Nagumo telegraph equation, J. Math. Anal. 8(1) (2017)
46-69.
318- H. Nojavan, S. Abbasbandy, M.
Mohammadi. Local variably scaled Newton basis functions collocation method for
solving Burgers' equation, Appl. Math. Comput.
330 (2018) 23-41.
319- R.C.
Aziz, I. Hashim, S. Abbasbandy. Flow and heat
transfer in a nanofluid thin film over an unsteady stretching sheet, Sains Malays. 47(7) (2018) 1599-1605.
320- M.
Khaleghi, M. Talebi Moghaddam, E. Babolian,
S. Abbasbandy. Solving a class of singular two-point
boundary value problems using new effective reproducing kernel technique, Appl.
Math. Comput. 331 (2018) 264-273.
321- P.
Bakhtiari, S. Abbasbandy, R. A. Van Gorder. Solving the Dym initial
value problem in reproducing kernel space. Numer.
Algor. 78(2) (2018) 405–421.
322- S. Noeiaghdam, M. A. Fariborzi Araghi, S. Abbasbandy. Finding
optimal convergence control parameter in the homotopy
analysis method to solve integral equations based on the stochastic arithmetic,
Numer. Algor. 81 (2019) 237—267.
323- P.
Bakhtiari, S. Abbasbandy, R.A. Van Gorder. Reproducing kernel method for the numerical
solution of the 1D Swift-Hohenberg equation.
Appl. Math. Comput. 339 (2018)
132--143.
324-S. Salahshour, A. Ahmadian, S. Abbasbandy,
D. Baleanu. M-fractional derivative under interval
uncertainty: Theory, properties and applications, Chaos, Solitons \&
Fractals 117 (2018) 84--93.
325- B. Azarnavid, M. Emamjome, M. Nabati, S. Abbasbandy. A
reproducing kernel Hilbert space approach in meshless collocation method, Comput. Appl. Math. (2019) 38:72,
326- N. Gholami, T. Allahviranloo, S. Abbasbandy, N. Karamikabir. Fuzzy
reproducing kernel space method for solving fuzzy boundary value problems, Math.
Sci. 13(2) (2019) 97--103.
327- S. Abbasbandy, M. Mustafa, T. Hayat, A. Alsaedi.
Slip effects on MHD boundary layer flow of Oldroyd‑B fluid past a stretching sheet: An analytic solution, J.
Braz. Soc. Mech. Sci. Eng. 39 (2017) 3389–-3397.
328- M. Heydari, E. Shivanian, B. Azarnavid, S. Abbasbandy. An
iterative multistep kernel based method for nonlinear Volterra integral and integro--differential equations of fractional order, J. Comput. Appl. Math. 361 (2019) 97-112.
329- S. Abbasbandy, E. Shivanian. The
exact closed solution in the analysis of a natural convection porous fin with
temperature-dependent thermal conductivity and internal heat generation, Can.
J. Phys. 97(5) (2019) 566-–575.
330- H. Sahihi, s. Abbasbandy, T. Allahviranloo. Computational method based on reproducing
kernel for solving singularly perturbed differential--difference equations with
a delay, Appl. Math. Comput. 361 (2019)
583-–598.
331- M. Aslefallah, S. Abbasbandy, E. Shivanian. Numerical solution of a modified anomalous
diffusion equation with nonlinear source term through meshless singular
boundary method, Eng. Anal. Bound. Elem. 107 (2019) 198--207.
332- S. Ziari, I. Perfilieva, S. Abbasbandy. Block-pulse functions in the method of successive
approximations for nonlinear fuzzy Fredholm integral equations, Differ. Equ. Dyn. Syst. 30(4) (2022)
995-1009.
333- N. Zainalian Eskandi, S. Abbasbandy. Numerical solution of 2D Volterra--Fredholm
integral equations via modification of hat Functions, Journal of
Mathematical Analysis 10(5) (2019) 41—53.
334- M. Aslefallah, S. Abbasbandy, E. Shivanian. Two--dimensional nonlinear generalized
Benjamin-Bona-Mahony-Burgers problem via singular boundary method; Analysis of
stability and convergence, Numer. Methods
Partial Differential Eq. 36 (2020) 249--267.
335- M. Aslefallah, S. Abbasbandy, E. Shivanian. Fractional cable problem in the frame of
meshless singular boundary method, Eng. Anal. Bound. Elem. 108 (2019)
124--132.
336- J. Hajishafieiha, S. Abbasbandy. A
new class of polynomial functions for approximate solution of generalized
Benjamin–Bona–Mahony–Burgers (gBBMB) equations, Appl.
Math. Comput. 367 (2020) 124765.
337- M.
Keshavarz, T. Allahviranloo, S. Abbasbandy,
M.H. Modarressi. A Study of Fuzzy Methods for Solving
System of Fuzzy Differential Equations, New Mathematics and Natural
Computation, 17(1) (2021) 1—27.
338- M. Entezari, S. Abbasbandy, E. Babolian. Numerical solution of fractional partial
differential equations with normalized Bernstein wavelet Method, Appl. Appl.
Math. 14(2) (2019) 890--909.
339- J. Hajishafieiha, S. Abbasbandy. A
new method based on polynomials equipped with a parameter to solve two
parabolic inverse problems with a nonlocal boundary condition, Inverse Probl. Sci. Eng. 28(5) (2020) 739—753.
340- S. Noeiaghdam, M.A. Fariborzi Araghi, S. Abbasbandy. Valid
implementation of Sinc--collocation method to solve
the fuzzy Fredholm integral Equation, J. Comput.
Appl. Math. 370 (2020) 112632.
341- H. Sahihi, T. Allahviranloo, S. Abbasbandy. Solving system of second--order BVPs using a
new algorithm based on reproducing kernel Hilbert space, Appl. Numer. Math. 151 (2020) 27-39.
342- A. Karami, S. Abbasbandy, E. Shivanian. Meshless local Petrov-–Galerkin
formulation of inverse Stefan problem via moving least squares approximation, Math.
Comput. Appl. 24(4) (2019) 101.
343- F.
Karimi, T. Allahviranloo, S.M. Pishbin,
S. Abbasbandy. Solving Riccati
fuzzy differential equations, New Mathematics and Natural Computation,
17(1) (2021) 29—43.
344- Z. Shahsavari, T. Allahviranloo, S. Abbasbandy, M. Rostamy-Malkhalifeh.
The traveling wave solution of the fuzzy linear partial differential equation, Appl.
Appl. Math. 15(1) (2020) 408-429.
345- Kh. Sabzi, T. Allahviranloo, S. Abbasbandy. A fuzzy generalized power series method under
generalized Hukuhara differentiability for solving
fuzzy Legendre differential equation, Soft Comput.
24 (2020) 8763-8779.
346- E. Shivanian, S. Abbasbandy. Pseudospectral meshless radial point interpolation for
generalized biharmonic equation in the presence of Cahn--Hilliard conditions, Comput. Applied Math. 39(3) (2020) 148.
347- M. Aslefallah, S. Abbasbandy, E. Shivanian. Meshless singular boundary method for
two—dimensional pseudo--parabolic equation: analysis of stability and
convergence, J. Appl. Math. Computing 63 (2020) 585--606.
348- A. Karami, S. Abbasbandy, E. Shivanian. Inverse problem of identifying a time--dependent
coefficient and free boundary in heat conduction equation by using the meshless
local Petrov--Galerkin (MLPG) method via moving least
squares approximation, Filomat 34(10) (2020)
3319--3337.
349- S. Abbasbandy, H. Sahihi, T. Allahviranloo. Implementing reproducing kernel method to
solve singularly perturbed convection--diffusion parabolic problems, Math.
Model. Anal. 26(1) (2021) 116—134.
350- M.M.
Rashidi, F. Rabiei, S. Naseri
Nia, S. Abbasbandy. A review: Differential transform
method for semi--analytical solution of differential equations, Int. J. of
Applied Mechanics and Engineering 25(2) (2020) 122--129.
351- S. Abbasbandy, E. Shivanian, K. H.
AL-Jizani. On the analysis of a kind of nonlinear Sobolev equation through locally applied pseudo-spectral
meshfree radial point interpolation, Numer.
Methods Partial Differential Eq. 37(1) (2021) 462—478.
352- U. Mendu, D. Srinivasacharya, S. Abbasbandy, R.V.S. Mani, K. Venumadav.
Free convection in a Brinkman--Darcy flow of solutal
stratified micropolar fluid under radiation boundary conditions, AIP
Conference Proceedings 2246, 020103 (2020);
https://doi.org/10.1063/5.0014602.
353- S. khakrangin, T. Allahviranloo, N. Mikaeilvand, S. Abbasbandy.
Numerical solution of fuzzy fractional differential equation by Haar wavelet, Appl. Appl. Math. 16(1) (2021)
268-288.
354- E. Qahremani, T. Allahviranloo, S. Abbasbandy, N. Ahmady. A study on
the fuzzy parabolic Volterra partial integro-differential
equations, J. Intelligent & Fuzzy Systems 40(1) (2021) 1639-1654.
355- S. Abbasbandy, E. Shivanian, K.H.
AL-Jizani, S.N. Atluri. Pseudospectral meshless radial point interpolation for
generalized biharmonic equation subject to simply supported and clamped
boundary conditions, Eng. Anal. Bound. Elem. 125 (2021) 23-32.
356- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy. Numerical solution of nonlinear delay
differential equations of fractional variable-order using a novel shifted
Jacobi operational matrix, Engineering with Computers (2022) 38
S2593-S2607.
357- S. Abbasbandy, J. Hajishafieiha.
Numerical solution of the time-space fractional diffusion equation with Caputo
derivative in time by a-polynomial method, Appl. Appl. Math.
16(2) (2021) 881-893.
358- M.M.
Rashidi, M.A. Sheremet, M. Sadri, S.R. Mishra, P.K. Pattnaik, F. Rabiei, S. Abbasbandy, H. Sahihi, E. Erfani. Semi-analytical solution of two--dimensional
viscous flow through expanding/contracting gaps with permeable walls, Mathematical
and Computational Applications 26(2) (2021) 41.
359- S. Abbasbandy, J. Hajishafieiha.
Numerical solution of the Falkner-Skan equation: a
novel numerical approach through the new rational a-polynomials, Appl.
Math. Mech. 42(10) (2021) 1449-1460.
360- D. Haghighi, S. Abbasbandy, E. Shivanian, L. Dong, S.N. Atluri.
The Fragile Points Method (FPM) to solve two--dimensional hyperbolic telegraph
equation using point stiffness matrices,
Eng. Anal. Bound. Elem. 134 (2022) 11-21.
361- S. Abbasbandy, J. Hajishafieiha. A
numerical method for an inverse problem concerning the two-dimensional
diffusion equation with source control parameter by new polynomials, Sigma
Journal of Engineering and Natural Sciences, 41(3) (2023) 469-480.
362- M. Aslefallah, S. Abbasbandy, S. Yuzbasi. Solving high-order nonlinear differential
equations using operational matrix based on exponential collocation method, Sigma
Journal of Engineering and Natural Sciences, 41(4) (2023) 689-698.
363- Kh. Sabzi, T. Allahviranloo, S. Abbasbandy. On the Properties and Applications of Fuzzy
Analytic Equations, Fuzzy Sets and Systems 443(A) (2022) 241-261.
364- M. Hajiketabi, S. Abbasbandy, A
fictitious time Lie-group integrator for the Brinkman-Forchheimer
momentum equation modeling flow of fully developed forced convection, Computational
Mathematics and Mathematical Physics, 62(9) (2022) 1527-1538.
365- M. Ghaffari, T. Allahviranloo, S. Abbasbandy, M. Azhini,
Generalized Hukuhara conformable fractional
derivative and its application to fuzzy fractional partial differential
equations, Soft Computing 26(5) (2022) 2135-2146.
366- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy. A novel shifted Jacobi operational matrix
method for nonlinear multi-terms delay differential equations of fractional
variable-order with periodic and anti-periodic conditions, Mathematical
Methods in The Applied Sciences 45(16) (2022) 10116-10135.
367- A.
Rahimi, E. Shivanian, S. Abbasbandy.
Analysis of new RBF-FD weights, calculated based on inverse quadratic
functions, Journal of Mathematics, Vol. 2022, Article ID 3718132 (2022)
1-7.
368- H. Saky, S. Abbasbandy, E. Shivanian. Applying the reproducing kernel method to
fractional differential equations with periodic conditions in Hilbert space, Journal
of Mathematics, Vol. 2022, Article ID 6261378 (2022) 1-10.
369- S. Abbasbandy, J. Hajishafieiha. A
new method to numerically solve fractional differential equations using a-polynomials,
Int. J. Appl. Comput. Math. 8(2) (2022) 216.
370- M. Aslefallah, S. Abbasbandy, S. Yuzbasi. Numerical solution for a class of nonlinear
Emden-Fowler equations by exponential collocation method, Appl. Appl. Math. 18(1)
(2023) Article10, 13pages.
371- J. Hajishafieiha, S. Abbasbandy.
Numerical approach for solving the fractional pantograph delay differential
equations, Complexity, Vol. 2022, Article ID 4134892 (2022) 1-10.
372- N. Shahryari, T. Allahviranloo, S. Abbasbandy. Numerical method to solve a hybrid fuzzy
conformable fractional differential equations, New Mathematics and Natural
Computation, 18(3) (2022) 629-655.
373- D. Haghighi, S. Abbasbandy, E. Shivanian. Study of the fragile points method for solving
two-dimensional linear and nonlinear wave equations on complex and cracked
domains, Eng. Anal. Bound. Elem. 146 (2023) 44-55.
374- M. Aslefallah, S. Yuzbasi, S. Abbasbandy. A numerical investigation based on exponential
collocation method for nonlinear SITR model of COVID-19, CMES: Comput. Model. Eng. Sci. 136(2) (2023) 1687-1706.
375- J. Hajishafieiha, S. Abbasbandy.
Numerical solution of two-dimensional inverse time-fractional diffusion problem
with non-local boundary condition using $a$-polynomials, J. Appl. Math.
Comp. 69 (2023) 1945-1965.
376- N. Najafzadeh, S. Abbasbandy, E. Shivanian. Adaptive numerical method for approximation of
traffic flow equations, Journal of Advanced Transportation, Volume 2022,
Article ID 8208957 (2022) 1-13.
377- Z. Motamedi Pour, T. Allahviranloo,
M. Afshar Kermani, S. Abbasbandy.
Solving a system of linear equations based on z-numbers to determinate the
market balance value, Advances in Fuzzy Systems, Volume 2023, Article ID
6353911 (2023) 1-28.
378- M. Aslefallah, S. Abbasbandy, E. Shivanian, Numerical solution for two-dimensional nonlinear
Klein-Gordon equation through meshless singular boundary method, Journal of
Science and Arts, 23(2) (2023) 341-354.
379- N. Shahryari, T. Allahviranloo, S. Abbasbandy. Two-dimensional Muntz–Legendre
wavelet method for fuzzy hybrid differential equations, New Mathematics and
Natural Computation, 19(1) (2023) 173-193.
380- T. Amoozad, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Using a new implementation of reproducing
kernel Hilbert space method to solve a system of second-order BVPs, International
Journal of Dynamics and Control, 12 (2024) 1694-1706.
381- T. Amoozad, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, A new approach for Solving a nonlinear system
of second-order BVPs, Math. Model. Anal. 29(4) (2024) 669-683.
382- H.R. Khodabandehlo, E. Shivanian, S. Abbasbandy, A novel shifted Jacobi operational matrix
method for linear multi-terms delay differential equations of fractional
variable-order with periodic and anti-periodic conditions. In Press.
383- T. Amoozad, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Application of the reproducing kernel method
for solving linear Volterra integral equations with variable coefficients, Physica Scripta, 99 (2004) 025246.
384- H. Rasekhinezhad, S. Abbasbandy, T. Allahviranloo, E. Babolian,
Applications of new smart algorithm based on Kernel Method for Variable
Fractional Functional Boundary Value Problems, International Journal of
Dynamics and Control, 12(8) (2024) 2795-2802.
385- T. Amoozad, S. Abbasbandy, H. Sahihi, T. Allahviranloo, A new
application of the reproducing kernel method for solving linear systems of
fractional order Volterra integro-differential
equations, Physica Scripta, 99 (2024)
075209.
386- S.E.
Sadat Najafi, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Numerical solution of nonlinear equations of
traffic flow density using spectral methods by filter, Journal of Applied Mathematics
and Computing, 71(1) (2025) 743-763.
387- S. Abbasbandy, A hybrid quantum-spectral-successive
linearization method for general Lane-Emden type equations, Journal of
Applied Mathematics and Computing, 71(2) (2025)
1581-1607.
388- D. Haghighi, S. Abbasbandy, Y. Guan,
E. Shivanian, Application of the fragile points
method for two-dimensional generalized biharmonic equation on arbitrary domains,
Computational and Applied Mathematics, 44(5) (2025) 209.
389- S. Abbasbandy, Series and rational solutions of the second
kind Painleve equations by using quantum
pseudo-spectral method, International Journal of Mathematics and
Mathematical Sciences, 2025 (2025) 9705701.
390- S.E.
Sadat Najafi, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh, Numerical solution of nonlinear equations of
traffic flow density using filter methods with middle-grid point. In Press.
RESEARCH PAPERS in IRANIAN JOURNALS
1- G.R. Jahanshahloo and S. Abbasbandy.
Combination of Orthogonality and Simplex Method for Solving Linear
Programming. J. Sc. (Islamic AZAD
University) Vol. 2,
No. 6, 1992, 151-186.
2- S. Abbasbandy and E. Babolian.
Automatic Augmented Galerkin Algorithms for Linear
First Kind Integral Equations: Non-Singular and Weak Singular Kernels. Bulletin
of Iranian Mathematical Society, Vol. 21, No. 1, 1995, 35-62, MR
98b:65140, Zbl. 0865.65097.
3- G. Jahanshahloo and S. Abbasbandy. Orthogonalization Process for Finding a Basic
Feasible Solution (BFS). J. Sci., Teacher Training University, Vol. 7,
No. 1-2, 1996, 2-8.
4- S. Abbasbandy and E. Babolian. An
Augmented Galerkin Algorithms for First Kind Integral
Equations of Hammerstein type. J. Sc., University for Teacher
Education, Vol. 7, No. 1-2, 1996, 9-14.
5- S. Abbasbandy and E. Babolian. An
Augmented Galerkin Method for Singular Integral
Equations with Hilbert Kernel. Scientia Iranica.
Vol. 4, Nos. 1 2, 1997, 60-64, MR 1 653 940, Zbl.
0963.65146.
6- S. Abbasbandy and T. Allah Viranloo. Numerical Solution of Fuzzy Differential Equation
by Runge-Kutta Method of Order 2. J. Sc. (Islamic AZAD University),
Vol. 11, No. 41, 2001, 816-828.
7- S. Abbasbandy and T. allah
Viranloo. Numerical Solution of Fuzzy Differential
Equation by Runge-Kutta Method. J. Sci. Teacher
Training University,
Vol. 1, No 3 & 4, Fall 2001 and Winter 2002, 31-43.
8- S. Abbasbandy. Fuzzy Interpolation. J.
of Basic Science, Vol. 2, No. 3, 2003, 1-6.
9- S. Abbasbandy, C. Lucas and B. Asady. A new method for ranking of fuzzy numbers through
using distance method, Quarterly Journal of Science, Teacher Training
University, Vol. 3, 2003, 83-88.
10-
S. Abbasbandy. A posteriori estimate for Tikhonov
regularization parameter. Mathematics
Scientific Journal, Islamic Azad University of Arak, Vol. 1, 2005, 1-7.
11-
S. Abbasbandy and M. Alavi.
A new method for solving symmetric fuzzy linear systems. Mathematics Scientific Journal, Islamic
Azad University of Arak, Vol. 1, 2005, 55-62.
12-
S. Abbasbandy and M. Alavi.
A method for solving fuzzy linear systems. Iranian J. of Fuzzy Systems, Vol.
2, 2005, 37-43.
13-
S.Abbasbandy and E. Ezzati.
Crisp solution of a general fuzzy linear system, J. Sc. (Islamic AZAD
University) Vol. 16, 2006, 19-25.
14-
S. Abbasbandy and M. Amirfakhrian.
Approximation of fuzzy functions by distance method, Mathematics Scientific
Journal, Islamic Azad University of Arak, Vol. 2, 2006, 15-28.
15-
S. Abbasbandy, M. Otadi and
M. Mosleh. Ranking of fuzzy numbers by min distance,
Mathematics Scientific Journal, Islamic Azad University of Arak, Vol. 2,
2006-2007, 1-14.
16-
R. Ezzati, S. Abbasbandy.
Newton's method for solving a system of dual fuzzy nonlinear equations.
Mathematical Sciences, Islamic Azad University of Karaj,
1 (2007) 71-82.
17-
S. Abbasbandy and A. Jafarian.
Fixed point method for solving fuzzy nonlinear equations. J. Sc. (Islamic AZAD University),
18 (2009) 36-41.
18-
E. Babolian, S. Abbasbandy
and M. Alavi. Numerical solution of fuzzy
differential inclusion by Euler method. J. Sc. (Islamic AZAD University),
18 (2009) 60-65.
19-
S. Abbasbandy, A. Panahi, H. Rouhparvar.
Solving fuzzy differential inclusions using the LU-representation of fuzzy
Numbers, J. Sc. (Islamic AZAD University), 19 (2010) 79-88.
20-
S. Abbasbandy, T. Hajjari.
An Improvement in Centroid Point Method for Ranking of Fuzzy Numbers. J. Sc.
(Islamic AZAD University), 20 (78/2) (2011) 109-119.
21-
M. Mosleh, M. Otadi, S. Abbasbandy. Solution of fully fuzzy linear systems by ST
method. J. Appl. Math. (Islamic Azad University -Lahijan
Beanch), 8(1) (2011) 23-31.
22-
M. Salehnegad, S. Abbasbandy,
M. Mosleh, M. Otadi.
Canonical representation for approximating solution of fuzzy polynomial
equations, Iranian J. Optimization 3 (2010) 447-454.
23-
S. Abbasbandy, T. Allahviranloo
and M. Ghanbari. The series solutions of evolution
equations by different semi-analytical methods, J. Sc. (Islamic AZAD
University) 22(86.2) (2013) 34-52.
24-
M. Otadi, M. Mosleh, S. Abbasbandy. Solving Fuzzy Linear System by Fuzzy Neural
Network and Applications in Economics. J. Mathematical Extension 5(2)
(2011) 47-66.
25-
H. Behforooz, R. Ezzati, S.
Abbasbandy.
Interpolation of fuzzy data by using quadratic piecewise polynomial
induced form E(3) cubic splines. Mathematical Sciences 6:40 (2012) 1-5.
26-
M. Mosleh, S. Abbasbandy,
M. Otadi. A method for solving fully fuzzy linear
system. Mathematics Scientific Journal, Islamic Azad University of Arak,
7(2) (2011) 59-70.
27-
S. Abbasbandy, E. Shivanian.
Effective calculation of multiple solutions of mixed convection in a porous
medium. Amirkabir
J., MISC, 44(1) (2012) 1-7.
28-
S. Abbasbandy, T. Allahviranloo,
M. R. Balooch Shahryari, S.
Salahshour. Fuzzy local fractional differential
equations, Int. J. Industrial Math. 4(3) (2012) 231-246.
29-
S. Abbasbandy, S. Salahshour.
New results on the existing fuzzy distance measures, Iran J. Fuzzy Syst.
10 (3) (2013) 115-124.
30-
S. Abbasbandy, K. Parand,
S. Kazaem, A.R. Sanaei Kia.
A numerical approach on Hiemenz ow problem using
radial basis functions. Int. J. Industrial Math. 5(1) (2013) 53-63.
31-
Sh.S. Behzadi, T. Allahviranloo, S. Abbasbandy.
Application of fuzzy expansion methods for solving fuzzy Fredholm-Volterra
integral equations of the first kind, Int. J. Math. Modelling \&
Computations 3(1) (2013) 59-70. (http://www.ijm2c.com/index.php/ijm2c/index)
32-
S. Abbasbandy, R. Nuraei,
M. Ghanbari. Revision of sign distance method for
ranking of fuzzy numbers, Iran J. Fuzzy Syst. 10(4) (2013) 101-117.
33-
Z. Barikbin, R. Ellahi, S. Abbasbandy. The Ritz-Galerkin
method for MHD Couette ow of non-Newtonian fluid, Int. J. Industrial Math.
6(3) (2014) 235-243.
34-
S. Abbasbandy, E. Shivanian.
The effects of MHD flow of third grade fluid by means of meshless local radial
point interpolation (MLRPI), Int. J. Industrial Math. 7(1) (2015) 1-11.
35-
S. Abbasbandy, P. Bakhtiari, T. Lotfi.
Solving a variant of Lane-Emden equation with boundary conditions by
reproducing kernel method, J. Sc. (Islamic AZAD University) 23(90.2)
(2014) 27-38.
36-
S.S. Behzadi , T. Allahviranloo,
S. Abbasbandy. Fuzzy collocation methods for
second--order fuzzy Abel-Volterra integro-differential
equations, Iranian J. Fuzzy Syst. 11(2) (2014) 71--88.
37-
S. Abbasbandy, B. Azarnavid.
Shooting reproducing Kernel Hilbert space method for numerical solution of
nonlinear singular boundary value problems arising in physiology. J. Sc.
(Islamic AZAD University) 24(94.2) (2015) 4-13.
38-
M. Eslaminasab, S. Abbasbandy.
Study on usage of Elzaki transform for the ordinary
differential equations with non-constant coefficients. Int. J. Industrial
Math. 7(3) (2015) 277-281.
39-
S.A. Hossayni, J.A. Rad, K. Parand,
S. Abbasbandy. Application of the exact operational
matrices for solving the Emden-Fowler equations, arising in astrophysics. Int.
J. Industrial Math. 7(4) (2015) 351-374.
40-
S. Gh. Hosseini, E. Babolian,
S. Abbasbandy. A new algorithm for solving Van der
Pol equation based on piecewise spectral Adomian
decomposition method. Int. J.
Industrial Math. 8(3) (2016) 177--184.
41-
S. Abbasbandy, M. Aslefallah.
Reproducing kernel Hilbert space (RKHS) method for solving singular perturbed
initial value problem. Theory of Approximation and Applications, Islamic
Azad University of Arak, 10(2) (2014) 1-12.
42-
F. Abbasi, T. Allahviranloo, S. Abbasbandy.
A new attitude coupled with the basic fuzzy thinking to distance between two
fuzzy numbers. Iranian J. Fuzzy Syst. 13 (6) (2016) 21-39.
43-
M. Ghasemi, B. Taghavi, S. Abbasbandy. Efficiency improvement of the structural system
identification by reducing singularity of the response matrixes in inverse
solution of equations of motion, Journal of Civil Engineering, Ferdowsi
University of Mashhad, 28(2) (1395) 23-38.
44-
R. Ezzati, S. Abbasbandy,
H. Behforooz. Interpolation of fuzzy data by using
flat end fuzzy splines, International Journal of Nonlinear Analysis and
Applications 8(2) (2017) 89--97.
45-
H. Vosoughi; S. Abbasbandy.
gH-differentiable of the 2th-order functions
interpolating, J. New Researches in Mathematics 2(9) (2017) 17-24.
46-Z.
Taeb, F. Hosseinzadeh Lotfi, S. Abbasbandy. Determine
the efficiency of time depended units by using data envelopment analysis,
Int. J. Res. Ind. Eng. 6(3) (2017) 193—201.
47-
F. Abbasi, T. Allahviranloo, S. Abbasbandy.
A new attitude coupled with the basic thinking to ordering for ranking fuzzy
numbers, Int. J. Industrial Math. 8(4) (2016) 365--375.
48-
E. Shivanian, S. Abbasbandy,
A. Khodayari. Numerical simulation of 1D linear
telegraph equation with variable coefficients using meshless local radial point
interpolation (MLRPI), Int. J. Industrial Math. 10(2) (2018) 151--164.
49-
S. M. Hosseini Herat, E. Babolian, S. Abbasbandy. Numerical study of unsteady flow of gas through
a porous medium by means of Chebyshev pseudo--spectral method, Int. J.
Industrial Math. 10(3) (2018) 229--236.
50-
A. Armand, T. Allahviranloo, S. Abbasbandy,
Z. Gouyandeh. The fuzzy generalized Taylor's
expansion with application in fractional differential equations. Iranian J. Fuzzy Syst. 16(2) (2019)
57--72.
51-
M. Maleki Miyane, S. Abbasbandy. An Efficient numerical method for a class of
boundary value problems based on shifted Jacobi-Gauss collocation scheme. Int.
J. Industrial Math. 11(1) (2019) 35--42.
52-
P. Bassiri, P. Bakhtiari, S. Abbasbandy.
A new iterative with memory class for solving nonlinear equations. Int. J.
Industrial Math. 8(3) (2016) 225--229.
53-
M. Khaleghi, E. Babolian, S. Abbasbandy.
An effective numerical technique for solving second order linear two-point
boundary value problems with deviating argument. Int. J. Industrial Math. 11(4) (2019)
275--281.
54-
H. Nojavan, S. Abbasbandy,
T. Allahviranloo. Solving partial differential
equations by radial basis functions with variable shape parameter, J. New
Researches in Mathematics. 5(17) (2019) 17--38.
55-
H. Sahihi, S. Abbasbandy,
T. Allahviranloo. Homotopy analysis method and its
application for solving singularly perturbed differential--difference equation
with boundary layer behavior and delay, J. New Researches in Mathematics.
6(23) (2020) 29—38.
56-
H. Sahihi, S. Abbasbandy.
Homotopy analysis method and its application for
solving
integro--differential equations of fractional order.
In Press.
57-
M. Hajiketabi, S. Abbasbandy.
A simple, efficient and accurate new Lie--group shooting method for solving
nonlinear boundary value problems, Int. J. Nonlinear Anal. Appl. 12(1)
(2021) 761—781.
58-
M. Emamjome, S. Abbasbandy,
D. Rostamy. Quasi interpolation of radial basis
functions--pseudospectral method for solving
nonlinear Klein—Gordon and sine-Gordon equations, Iranian J. Numer. Anal. Optimization 10(1) (2020) 81—106.
59-
Sahar Askari, Saeid Abbasbandy.
Improved neural network and the Pontryagin’s minimum
principle for solve fuzzy optimal control problems, Int. J. Industrial Math.
12(3) (2020) 303-314.
60-
S. Ziari, S. Abbasbandy.
Open fuzzy quadrature rule for nonlinear fuzzy integral equations with error
approximation, Mathematical Researches 7(4) (1400) 781-796
61-
M. Keshavarz, T. Allahviranloo, S. Abbasbandy, M.H. Modarressi.
Analytical fuzzy solution of the ventricular pressure equation and prediction
of the blood pressure, Computational Methods For Differential Equations
9(4) (2021) 919-939.
62-
S. Farzaneh Javan, S. Abbasbandy,
M. A. Fariborzi Araghi.
Reproducing Kernel Hilbert space method for solving fuzzy integral equations of
the second kind, J. New Researches in Mathematics 8(36) (2022) 29-42.
63-
S. Rezabeyk, S. Abbasbandy,
E. Shivanian. Solving fractional--order delay integro--differential equations using operational matrix
based on fractional--order Euler polynomials, Math. Sci. 14 (2020) 97-107.
64-
R. Ghasemi Moghaddam, S. Abbasbandy
, M. Rostamy-Malkhalifeh. A study on analytical
solutions of the fuzzy partial differential equation, Int. J. Industrial
Math. 12(4) (2020) 419—429.
65-
M. Dirbaz, S.Abbasbandy. A
numerical algorithm for solving impulsive fuzzy initial value problem based on
fuzzy methods, Int. J. Industrial Math. 13(3) (2021)
221—237.
66-
M. Ghaffari, T. Allahviranloo,
S. Abbasbandy, M. Azhini.
On the Fuzzy Solutions of Time-fractional Problems, Iranian J. Fuzzy Syst.
18(3) (2021) 51-66.
67-
S. Abbasbandy, E. Shivanian.
Construction of pseudospectral meshless radial point
interpolation for Sobolev equation with error
analysis, Int. J. Industrial Math. 14(2) (2022) 183-195.
68-
F. Karimi, T. Allahviranloo, S. Abbasbandy.
An application of fuzzy fractional partial differential equations on heart
sound signal denoising, J. New Researches in Mathematics, 7(34) (2022)
71--82.
69-
S. Abbasbandy, H. Sahihi,
T. Allahviranloo. Combining the reproducing kernel
method with a practical technique to solve the system of nonlinear singularly
perturbed boundary value problems, Computational Methods for Differential
Equations, 10(4) (2022) 942-953.
70-
R. Mohammad Hosseiny, T. Allahviranloo,
S. Abbasbandy, E. Babolian.
Reproducing kernel method to solve non-local fractional boundary value problem,
Math. Sci. 16(3) (2022) 261-268.
71-
S. Abbasbandy, H.R. Khodabandehlo.
Application of reproducing kernel Hilbert space method for generalized 1--D
linear telegraph equation, Int. J. Nonlinear Anal. Appl. 13(2) (2022)
485-497.
72-
N. Shahryari, S. Abbasbandy.
Numerical Solution of second--order hybrid fuzzy differential equations by
generalized differentiability, Int. J. Industrial Math. 13(4) (2021)
451-464.
73-
N. Shahryari, T. Allahviranloo,
S. Abbasbandy. The solution of fuzzy Hybrid
differential equations. In Press.
74-
M. Entezari,
S. Abbasbandy, E. Babolian.
Hybrid of block--pulse and orthonormal Bernstein functions for fractional
differential equations, Iranian J. Numer. Anal.
Optimization 12(2) (2022) 315-333.
75-
T. Allahviranloo, S. Abbasbandy,
H. Sahihi. Reproducing kernel method to solve a class
of variable delay integro--differential equations. In
Press.
76-
A. Noorafkan Zanjani, S. Abbasbandy, F. Soltanian. Solving
partial--differential algebraic equations with fifth-order meshless Petrov--Galerkin method by CS--RBFS interpolation, Int. J.
Nonlinear Anal. Appl. 14(3) (2023) 353-367.
77-
D. Haghighi, S. Abbasbandy,
E. Shivanian. Applying the meshless fragile points
method to solve the two-dimensional linear Schrodinger equation on arbitrary
domains, Iranian J. Numer. Anal. Optimization
13(1) (2023) 1-18.
78-
H.R. Khodabandehlo, E. Shivanian,
S. Abbasbandy. A novel shifted Jacobi operational
matrix for solution of nonlinear fractional variable-order differential
equation with proportional delays, Int. J. Industrial Math. 14(4) (2022)
415-432.
79-
Nasim Gholami, Saeid Abbasbandy, Nasrin Karamikabir.
Investigating the relationship between ordinary inner product spaces and fuzzy
inner product spaces, J. New Researches in Mathematics, 8(37) (2022)
237-246.
80-
H. Rasekhinezhad, M. Afshar Kermani,
T. Allahviranloo, S. Abbasbandy,
E. Babolian. The interval rational-interpolation
method, Fuzzy Optimization and Modelling 3(2) (2022) 27-42.
81-
S. Rezabeyk, S. Abbasbandy,
E. Shivanian, H. Derili. A
new approach to solve weakly singular fractional-order delay integro-differential equations using operational matrices, Journal
of Mathematical Modeling 11(2) (2023) 257-275.
82-
N. Abdollahi, S. Abbasbandy.
Reproducing kernel method for Abel's second kind singular integral equations, Computational
Mathematics and Computer Modeling with Applications 1(2) (2022) 27-34.
83-
J. Hajishafieiha, S. Abbasbandy,
T. Allahviranloo. A new numerical approach for solving
the fractional nonlinear multi–pantograph delay differential equations,
Iran. J. Sci. Technol. Trans. A Sci. 47(3) (2023) 825-835.
84-
S. Rezaei Aderyani, R. Saadati,
T. Allahviranloo, S. Abbasbandy,
M. Catak.
Fuzzy
approximation of a fractional Lorenz system and a fractional financial crisis, Iranian
J. Fuzzy Syst. 20(7) (2023) 27-36.
85-
M. Joghataee, T. Allahviranloo,
F. Hosseinzadeh Lotfi, A. Ebrahimnejad, S. Abbasbandy, A. Amirteimoori, M. Catak. Solving
fully linear programming problem based on Z-numbers, Iranian J. Fuzzy Syst.
20(7) (2023) 157-174.
86-
Z. Motamedi Pour, T. Allahviranloo,
M. Afshar Kermani, S. Abbasbandy.
A method for ranking of Z-numbers. In Press.
87-
S. Khakrangin, T. Allahviranloo,
N. Mikaeilvand, S. Abbasbandy.
On the fuzzy solution of time-fractional Cauchy reaction-diffusion equation. In
Press.
88-
H. Rasekhinezhad, S. Abbasbandy,
T. Allahviranloo, E. Babolian.
A reproducing kernel method for solving nonlocal functional differential equations
with delayed or advanced arguments. In Press.
89-
T. Amoozad, S. Abbasbandy,
H. Sahihi, T. Allahviranloo.
Combining the reproducing kernel method with Taylor series expansion to solve
systems of nonlinear fractional Volterra integro-differential
equations. In Press.
90-
N. Hosseinzadeh, E. Shivanian,
S. Abbasbandy. An effective RBF-FD technique using polyharmonic splines alongside polynomials with application
to pricing financial options. In Press.
END