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
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.
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
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.
Mathematics and Computation, Vol. 175, 2006, 1189-1199.
46-
S. Abbasbandy. Application of He's homotopy
perturbation method for
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.
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.
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
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.
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. In Press.
95- S. Abbasbandy and E.J. Parkes. Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis
method. In Press.
96- S. Abbasbandy. Homotopy analysis method for the Kawahara equation. In Press.
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. In Press.
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. In Press.
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. In Press.
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.
In Press.
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. In Press.
1- G.R. Jahanshahloo and S. Abbasbandy. Combination of Orthogonality and Simplex Method for Solving
Linear Programming.
J. Sc. (Islamic
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
7- S. Abbasbandy and T. allah Viranloo. Numerical Solution of Fuzzy Differential Equation by Runge-Kutta
Method.
J.
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,
10-
S. Abbasbandy. A posteriori estimate
for Tikhonov regularization parameter. Mathematics Scientific Journal,
Islamic
11- S. Abbasbandy and M. Alavi. A new method for solving
symmetric fuzzy linear systems. Mathematics
Scientific
Journal, Islamic
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
Vol. 16, 2006, 19-25.
14- S. Abbasbandy and M. Amirfakhrian. Approximation of fuzzy functions by distance method,
Mathematics Scientific Journal, Islamic
15- S. Abbasbandy, M. Otadi and M. Mosleh. Ranking of fuzzy numbers by min distance,
Mathematics Scientific Journal, Islamic Azad
16-
R. Ezzati, S. Abbasbandy.
Mathematical Sciences, Islamic
17- S. Abbasbandy and A. Jafarian. Fixed point method for solving fuzzy nonlinear equations.
J. Sc. (Islamic
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.