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. In Press.
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. In Press.
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 NajafiT, T. Allahviranloo, S. Abbasbandy, M. Rostamy Malkhalifeh,
Numerical solution of nonlinear equations of traffic flow density using
spectral methods by filter. 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.
END