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## Abbasbandy, Saeid

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 Author ID: abbasbandy.saeid Published as: Abbasbandi, S.; Abbasbandy, S.; Abbasbandy, Saeed; Abbasbandy, Saeid; Abbasbandy, Saied Homepage: http://www.abbasbandy.com/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 268 Publications since 1992
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all top 5

#### Serials

 38 Applied Mathematics and Computation 21 Communications in Nonlinear Science and Numerical Simulation 11 Journal of Computational and Applied Mathematics 11 Engineering Analysis with Boundary Elements 9 Chaos, Solitons and Fractals 8 Mathematical & Computational Applications 7 International Journal of Computer Mathematics 6 Numerical Algorithms 6 Applied Mathematical Modelling 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Iranian Journal of Fuzzy Systems 5 Nonlinear Studies 5 Mathematical Problems in Engineering 5 Soft Computing 5 Mathematical Sciences 4 International Journal for Numerical Methods in Fluids 4 Physics Letters. A 4 Applied Numerical Mathematics 4 Abstract and Applied Analysis 4 The Korean Journal of Computational & Applied Mathematics 4 Nonlinear Analysis. Real World Applications 4 Journal of Fuzzy Set Valued Analysis 3 Computers & Mathematics with Applications 3 Information Sciences 3 Italian Journal of Pure and Applied Mathematics 3 Journal of Intelligent and Fuzzy Systems 3 Advances in Difference Equations 3 Applications and Applied Mathematics 2 Fuzzy Sets and Systems 2 International Journal for Numerical Methods in Engineering 2 Meccanica 2 Quaestiones Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Computational Mathematics and Modeling 2 The Journal of Fuzzy Mathematics 2 Computational and Applied Mathematics 2 Mathware & Soft Computing 2 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 2 Nonlinear Dynamics 2 Applied Sciences 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Journal of Applied Mathematics 2 International Journal of Nonlinear Analysis and Applications 2 Mathematics 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Computing 1 Kybernetes 1 Matematichki Vesnik 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 International Journal of Approximate Reasoning 1 Journal of Institute of Mathematics and Computer Sciences. Mathematics Series 1 Filomat 1 Notes on Intuitionistic Fuzzy Sets 1 Southwest Journal of Pure and Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Far East Journal of Applied Mathematics 1 CMES. Computer Modeling in Engineering & Sciences 1 Physica Scripta 1 Scientia Iranica 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Pure and Applied Mathematics 1 Advances in Theoretical and Applied Mathematics 1 Applied and Computational Mathematics 1 Journal of Nonlinear Science and Applications 1 Advances in Fuzzy Systems 1 Advances in Applied Mathematics and Mechanics 1 ROMAI Journal 1 Journal of Numerical Mathematics and Stochastics 1 Journal of Applied Mathematics & Informatics 1 Mathematica Æterna 1 Mathematical Sciences Quarterly Journal 1 Journal of Mathematical Extension 1 Journal of Applied Analysis and Computation
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#### Fields

 168 Numerical analysis (65-XX) 55 Partial differential equations (35-XX) 54 Ordinary differential equations (34-XX) 38 Fluid mechanics (76-XX) 34 Real functions (26-XX) 32 Integral equations (45-XX) 15 General algebraic systems (08-XX) 13 Mathematical logic and foundations (03-XX) 12 Approximations and expansions (41-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 5 Special functions (33-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

220 Publications have been cited 3,728 times in 2,104 Documents Cited by Year
The application of homotopy analysis method to nonlinear equations arising in heat transfer. Zbl 1236.80010
Abbasbandy, S.
2006
The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation. Zbl 1273.65156
Abbasbandy, S.
2007
Homotopy analysis method for quadratic Riccati differential equation. Zbl 1132.34305
Tan, Yue; Abbasbandy, Saeid
2008
Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method. Zbl 1032.65048
Abbasbandy, S.
2003
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
2008
Fractional-order Legendre functions for solving fractional-order differential equations. Zbl 1449.33012
Kazem, S.; Abbasbandy, S.; Kumar, Sunil
2013
Numerical solutions of the integral equations: homotopy perturbation method and Adomian’s decomposition method. Zbl 1090.65143
Abbasbandy, S.
2006
Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian’s decomposition method. Zbl 1088.65063
Abbasbandy, S.
2006
A new application of He’s variational iteration method for quadratic Riccati differential equation by using Adomian’s polynomials. Zbl 1120.65083
Abbasbandy, S.
2007
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
Ranking of fuzzy numbers by sign distance. Zbl 1293.62008
2006
A new approach for ranking of trapezoidal fuzzy numbers. Zbl 1165.03337
Abbasbandy, S.; Hajjari, T.
2009
Application of He’s homotopy perturbation method to functional integral equations. Zbl 1139.65085
Abbasbandy, S.
2007
Iterated He’s homotopy perturbation method for quadratic Riccati differential equation. Zbl 1089.65072
Abbasbandy, S.
2006
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
2009
Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method. Zbl 1167.35395
Abbasbandy, S.
2008
Explicit solutions of fractional differential equations with uncertainty. Zbl 1259.34009
Allahviranloo, T.; Salahshour, S.; Abbasbandy, S.
2012
Numerical methods for fuzzy differential inclusions. Zbl 1074.65072
Abbasbandy, S.; Allah Viranloo, T.; López-Pouso, Ó.; Nieto, J. J.
2004
The nearest trapezoidal fuzzy number to a fuzzy quantity. Zbl 1058.03516
2004
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
$$LU$$ decomposition method for solving fuzzy system of linear equations. Zbl 1088.65023
Abbasbandy, S.; Ezzati, R.; Jafarian, A.
2006
A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation. Zbl 1287.65083
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
2013
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Zbl 1352.65263
2012
Numerical solution of nonlinear Klein-Gordon equations by variational iteration method. Zbl 1194.65120
Abbasbandy, Saeid
2007
Application of He’s homotopy perturbation method for Laplace transform. Zbl 1142.65417
Abbasbandy, S.
2006
Fuzzy general linear systems. Zbl 1119.65325
Asady, B.; Abbasbandy, S.; Alavi, M.
2005
Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. Zbl 1062.65143
Babolian, E.; Goghary, H. Sadeghi; Abbasbandy, S.
2005
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Mathematical properties of $$\hbar$$-curve in the frame work of the homotopy analysis method. Zbl 1222.65060
Abbasbandy, S.; Shivanian, E.; Vajravelu, K.
2011
Homotopy analysis method for the Kawahara equation. Zbl 1181.35224
Abbasbandy, S.
2010
Tuning of reachable set in one dimensional fuzzy differential inclusions. Zbl 1073.65054
Abbasbandy, S.; Nieto, Juan J.; Alavi, M.
2005
Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. Zbl 1197.65096
2010
Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method. Zbl 1173.35646
Abbasbandy, S.
2008
An approximation solution of a nonlinear equation with Riemann-Liouville’s fractional derivatives by He’s variational iteration method. Zbl 1120.65133
Abbasbandy, S.
2007
Newton-homotopy analysis method for nonlinear equations. Zbl 1119.65032
Abbasbandy, S.; Tan, Y.; Liao, S. J.
2007
Solving linear integro-differential equations system by using rationalized Haar functions method. Zbl 1056.65144
Maleknejad, K.; Mirzaee, F.; Abbasbandy, S.
2004
The nearest approximation of a fuzzy quantity in parametric form. Zbl 1097.41001
Abbasbandy, S.; Amirfakhrian, M.
2006
The first integral method for modified Benjamin-Bona-Mahony equation. Zbl 1222.35166
2010
The homotopy analysis method for multiple solutions of nonlinear boundary value problems. Zbl 1221.65170
Abbasbandy, S.; Magyari, E.; Shivanian, E.
2009
Conjugate gradient method for fuzzy symmetric positive definite system of linear equations. Zbl 1121.65311
Abbasbandy, S.; Jafarian, A.; Ezzati, R.
2005
The nearest trapezoidal form of a generalized left right fuzzy number. Zbl 1112.03316
Abbasbandy, S.; Amirfakhrian, M.
2006
Homotopy analysis method for generalized Benjamin-Bona-Mahony equation. Zbl 1139.35325
Abbasbandy, S.
2008
Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Zbl 1137.65442
Abbasbandy, S.; Babolian, E.; Alavi, M.
2007
A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation. Zbl 1222.65150
Parand, K.; Abbasbandy, S.; Kazem, S.; Rad, J. A.
2011
Steepest descent method for system of fuzzy linear equations. Zbl 1088.65026
Abbasbandy, S.; Jafarian, A.
2006
MLPG method for two-dimensional diffusion equation with Neumann’s and non-classical boundary conditions. Zbl 1206.65229
2011
Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method. Zbl 1139.76013
Abbasbandy, S.; Parkes, E. J.
2008
Numerical solution of fuzzy differential equation by Runge-Kutta method. Zbl 1056.65069
Abbasbandy, S.; Allah Viranloo, T.
2004
Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method. Zbl 1222.65081
Abbasbandy, S.; Shivanian, E.
2010
A numerical solution of Burgers’ equation by modified Adomian method. Zbl 1060.65649
Abbasbandy, S.; Darvishi, M. T.
2005
On convergence of homotopy analysis method and its application to fractional integro-differential equations. Zbl 1274.65229
Abbasbandy, Saeid; Hashemi, Mir Sajjad; Hashim, Ishak
2013
A meshless method for two-dimensional diffusion equation with an integral condition. Zbl 1244.76068
2010
Minimal solution of general dual fuzzy linear systems. Zbl 1146.15002
Abbasbandy, S.; Otadi, M.; Mosleh, M.
2008
Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function. Zbl 1352.92003
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
2012
A new application of the homotopy analysis method: solving the Sturm-Liouville problems. Zbl 1221.65189
2011
Solution of the MHD Falkner-Skan flow by Hankel-Padé method. Zbl 1227.76068
Abbasbandy, S.; Hayat, T.
2009
Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method. Zbl 1088.65043
Abbasbandy, S.
2006
Extended Newton’s method for a system of nonlinear equations by modified Adomian decomposition method. Zbl 1082.65531
Abbasbandy, S.
2005
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. Zbl 1329.91142
Rad, Jamal Amani; Parand, Kourosh; Abbasbandy, Saeid
2015
Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model. Zbl 1297.65118
Abbasbandy, Saeid; Roohani Ghehsareh, Hadi; Alhuthali, Mohammed S.; Alsulami, Hamed H.
2014
Local integration of 2-D fractional telegraph equation via moving least squares approximation. Zbl 1403.65077
Shivanian, Elyas; Abbasbandy, Saeid; Alhuthali, Mohammed S.; Alsulami, Hamed H.
2015
Numerical solution of linear fuzzy Fredholm integral equations of the second kind using fuzzy Haar wavelet. Zbl 1252.65217
Ziari, Shokrollah; Ezzati, Reza; Abbasbandy, Saeid
2012
A new method for solving fuzzy linear differential equations. Zbl 1238.34005
Allahviranloo, T.; Abbasbandy, S.; Salahshour, S.; Hakimzadeh, A.
2011
An improved numerical method for a class of astrophysics problems based on radial basis functions. Zbl 1218.85008
Parand, K.; Abbasbandy, S.; Kazem, S.; Rezaei, A. R.
2011
Weighted trapezoidal approximation-preserving cores of a fuzzy number. Zbl 1193.26026
Abbasbandy, S.; Hajjari, T.
2010
Numerical solution of fuzzy polynomials by fuzzy neural network. Zbl 1105.65053
2006
A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation. Zbl 1297.65125
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.; Alsaedi, A.
2014
Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium. Zbl 1221.76156
Parand, K.; Abbasbandy, S.; Kazem, S.; Rezaei, A. R.
2011
Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational tau method and error estimation. Zbl 1170.65101
Abbasbandy, S.; Taati, A.
2009
Numerical solution of a system of fuzzy polynomials by fuzzy neural network. Zbl 1137.65032
Abbasbandy, S.; Otadi, M.; Mosleh, M.
2008
A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems. Zbl 1306.65231
Abbasbandy, Saeid; Azarnavid, Babak; Alhuthali, Mohammed S.
2015
Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Zbl 1293.76123
Chamkha, Ali J.; Abbasbandy, S.; Rashad, A. M.; Vajravelu, K.
2013
Newton’s method for solving fuzzy nonlinear equations. Zbl 1060.65049
2004
Numerical method for nonlinear wave and diffusion equations by the variational iteration method. Zbl 1159.76372
Abbasbandy, S.
2008
The Adomian decomposition method applied to the fuzzy system of Fredholm integral equations of the second kind. Zbl 1090.65144
Abbasbandy, S.; Allahviranloo, T.
2006
A method for solving fuzzy linear systems. Zbl 1104.15004
Abbasbandy, S.; Alavi, M.
2005
An adaptive pseudospectral method for fractional order boundary value problems. Zbl 1261.34009
Maleki, Mohammad; Hashim, Ishak; Kajani, Majid Tavassoli; Abbasbandy, Saeid
2012
A new analytical technique to solve Fredholm’s integral equations. Zbl 1208.45006
Abbasbandy, Saeid; Shivanian, E.
2011
Numerical solution of the generalized Zakharov equation by homotopy analysis method. Zbl 1221.65269
Abbasbandy, S.; Babolian, E.; Ashtiani, M.
2009
Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations. Zbl 1234.34009
Abbasbandy, S.; Bervillier, C.
2011
A numerical method for solving a class of functional and two-dimensional integral equations. Zbl 1137.65065
Babolian, E.; Abbasbandy, S.; Fattahzadeh, F.
2008
Newton’s method for solving a system of fuzzy nonlinear equations. Zbl 1093.65049
Abbasbandy, S.; Ezzati, R.
2006
Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition. Zbl 1356.76427
Ellahi, R.; Shivanian, E.; Abbasbandy, S.; Hayat, T.
2016
Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid. Zbl 1356.76416
Abbasbandy, S.; Hayat, T.; Alsaedi, A.; Rashidi, M. M.
2014
Predictor homotopy analysis method and its application to some nonlinear problems. Zbl 1221.65190
Abbasbandy, S.; Shivanian, E.
2011
A new analytical technique to solve Volterra’s integral equations. Zbl 1239.65084
Vosughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid
2011
Computational and theoretical pitfalls in some current performance measurement techniques; and a new approach. Zbl 1102.90031
Soleimani-damaneh, M.; Jahanshahloo, G. R.; Abbasbandy, S.
2006
Numerical approximation of fuzzy functions by fuzzy polynomials. Zbl 1094.65015
Abbasbandy, S.; Amirfakhrian, M.
2006
Some error estimates for the reproducing kernel Hilbert spaces method. Zbl 1342.65170
Abbasbandy, Saeid; Azarnavid, Babak
2016
Group analysis of the modified generalized Vakhnenko equation. Zbl 1261.35138
Hashemi, M. S.; Nucci, M. C.; Abbasbandy, S.
2013
Improved predictor-corrector method for solving fuzzy initial value problems. Zbl 1165.65042
2009
Note on “A new approach for defuzzification”. Zbl 1031.93115
2002
Interpolation of fuzzy data by complete splines. Zbl 1009.65006
Abbasbandy, S.
2001
Interpolation of fuzzy data by natural splines. Zbl 0914.65001
Abbasbandy, S.; Babolian, E.
1998
Group preserving scheme for the Cauchy problem of the Laplace equation. Zbl 1259.65189
Abbasbandy, S.; Hashemi, M. S.
2011
On series solution for unsteady boundary layer equations in a special third grade fluid. Zbl 1419.76151
Abbasbandy, S.; Hayat, T.
2011
Solution of singular linear vibrational BVPs by the homotopy analysis method. Zbl 1220.65141
Abbasbandy, S.; Shivanian, E.
2009
Solitary wave solutions to the modified form of Camassa-Holm equation by means of the homotopy analysis method. Zbl 1197.65199
Abbasbandy, S.
2009
Numerical simulations for coupled pair of diffusion equations by MLPG method. Zbl 1231.65167
2011
Interpolation of fuzzy data by using fuzzy splines. Zbl 1154.65011
Abbasbandy, S.; Ezzati, R.; Behforooz, H.
2008
Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space. Zbl 1445.65029
Sahihi, Hussein; Allahviranloo, Tofigh; Abbasbandy, Saeid
2020
Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. Zbl 1412.65244
2019
Fuzzy reproducing kernel space method for solving fuzzy boundary value problems. Zbl 1452.34005
Gholami, N.; Allahviranloo, T.; Abbasbandy, S.; Karamikabir, N.
2019
Computational method based on reproducing kernel for solving singularly perturbed differential-difference equations with a delay. Zbl 1429.65166
Sahihi, Hussein; Abbasbandy, Saeid; Allahviranloo, Tofigh
2019
The fuzzy generalized Taylor’s expansion with application in fractional differential equations. Zbl 1429.26044
Armand, Atefeh; Allahviranloo, Tofigh; Abbasbandy, Saeid; Gouyandeh, Zeinab
2019
Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method. Zbl 07110387
Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas
2019
An iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional order. Zbl 1440.65277
Heydari, Mojgan; Shivanian, Elyas; Azarnavid, Babak; Abbasbandy, Saeid
2019
Reproducing kernel method for solving singularly perturbed differential-difference equations with boundary layer behavior in Hilbert space. Zbl 1376.34064
Sahihi, Hussein; Abbasbandy, Saeid; Allahviranloo, Tofigh
2018
A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Zbl 1427.65281
Baseri, A.; Abbasbandy, S.; Babolian, E.
2018
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. Zbl 1403.65090
2018
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. Zbl 1427.65286
Hajiketabi, M.; Abbasbandy, S.; Casas, F.
2018
$$M$$-fractional derivative under interval uncertainty: theory, properties and applications. Zbl 1442.34023
Salahshour, S.; Ahmadian, A.; Abbasbandy, S.; Baleanu, D.
2018
Local variably scaled Newton basis functions collocation method for solving Burgers’ equation. Zbl 1427.65297
Nojavan, Hananeh; Abbasbandy, Saeid; Mohammadi, Maryam
2018
A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform. Zbl 1386.35465
Gouyandeh, Zienab; Allahviranloo, Tofigh; Abbasbandy, Saeid; Armand, Atefeh
2017
A geometric approach for solving Troesch’s problem. Zbl 1357.65099
Hashemi, M. S.; Abbasbandy, S.
2017
Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation. Zbl 1382.65459
Abbasbandy, S.; van Gorder, R. A.; Bakhtiari, P.
2017
Normalized Bernstein polynomials in solving space-time fractional diffusion equation. Zbl 1444.65057
Baseri, A.; Babolian, E.; Abbasbandy, S.
2017
Chebyshev reproducing kernel method: application to two-point boundary value problems. Zbl 1422.34104
Khaleghi, M.; Babolian, E.; Abbasbandy, S.
2017
Application of reproducing kernel Hilbert space method for solving a class of nonlinear integral equations. Zbl 1426.65210
Farzaneh Javan, Sedigheh; Abbasbandy, Saeid; Fariborzi Araghi, M. Ali
2017
A new class of polynomial functions equipped with a parameter. Zbl 1384.33010
Abbasbandy, Saeid
2017
A new variational iteration method for a class of fractional convection-diffusion equations in large domains. Zbl 06734423
Abolhasani, Mohammad; Abbasbandy, Saeid; Allahviranloo, Tofigh
2017
Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition. Zbl 1356.76427
Ellahi, R.; Shivanian, E.; Abbasbandy, S.; Hayat, T.
2016
Some error estimates for the reproducing kernel Hilbert spaces method. Zbl 1342.65170
Abbasbandy, Saeid; Azarnavid, Babak
2016
New efficient methods for solving nonlinear systems of equations with arbitrary even order. Zbl 1410.65180
Abbasbandy, Saeid; Bakhtiari, Parisa; Cordero, Alicia; Torregrosa, Juan R.; Lotfi, Taher
2016
Numerical simulation based on meshless technique to study the biological population model. Zbl 1368.92129
Abbasbandy, Saeid; Shivanian, Elyas
2016
A new and efficient method for elementary fuzzy arithmetic operations on pseudo-geometric fuzzy numbers. Zbl 1356.03084
Abbasi, Fazlollah; Abbasbandy, Saeid; Nieto, Juan J.
2016
Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption. Zbl 1342.35225
Noor, N. F. M.; Haq, Rizwan Ul; Abbasbandy, S.; Hashim, I.
2016
Cardinal basis piecewise Hermite interpolation on fuzzy data. Zbl 1397.65023
Vosoughi, H.; Abbasbandy, S.
2016
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. Zbl 1329.91142
Rad, Jamal Amani; Parand, Kourosh; Abbasbandy, Saeid
2015
Local integration of 2-D fractional telegraph equation via moving least squares approximation. Zbl 1403.65077
Shivanian, Elyas; Abbasbandy, Saeid; Alhuthali, Mohammed S.; Alsulami, Hamed H.
2015
A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems. Zbl 1306.65231
Abbasbandy, Saeid; Azarnavid, Babak; Alhuthali, Mohammed S.
2015
Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method. Zbl 1311.65087
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid; Alsaedi, A.
2015
Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation. Zbl 1410.65388
Abbasbandy, Saeid; Kazem, Saeed; Alhuthali, Mohammed S.; Alsulami, Hamed H.
2015
Pricing European and American options using a very fast and accurate scheme: the meshless local Petrov-Galerkin method. Zbl 1325.91061
Rad, Jamal Amani; Parand, Kourosh; Abbasbandy, Saeid
2015
Joules and Newtonian heating effects on stagnation point flow over a stretching surface by means of genetic algorithm and Nelder-Mead method. Zbl 1356.76021
Nawaz, M.; Zeeshan, A.; Ellahi, R.; Abbasbandy, S.; Rashidi, Saman
2015
Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method. Zbl 1394.34035
Hosseini, S. Gh.; Abbasbandy, S.
2015
A new attitude coupled with fuzzy thinking to fuzzy rings and fields. Zbl 1354.16048
Abbasi, F.; Allahviranloo, T.; Abbasbandy, S.
2015
Non-Darcy natural convection flow for non-Newtonian nanofluid over cone saturated in porous medium with uniform heat and volume fraction fluxes. Zbl 1356.76011
Chamkha, A.; Abbasbandy, S.; Rashad, A. M.
2015
A spectral method for the electrohydrodynamic flow in a circular cylindrical conduit. Zbl 1319.34025
Moghtadaei, Mohsen; Saberi Nik, Hassan; Abbasbandy, Saeid
2015
Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model. Zbl 1297.65118
Abbasbandy, Saeid; Roohani Ghehsareh, Hadi; Alhuthali, Mohammed S.; Alsulami, Hamed H.
2014
A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation. Zbl 1297.65125
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.; Alsaedi, A.
2014
Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid. Zbl 1356.76416
Abbasbandy, S.; Hayat, T.; Alsaedi, A.; Rashidi, M. M.
2014
Predictor homotopy analysis method: two points second order boundary value problems. Zbl 1294.65081
Shivanian, Elyas; Abbasbandy, Saeid
2014
Predictor homotopy analysis method (pham) for nano boundary layer flows with nonlinear Navier boundary condition: existence of four solutions. Zbl 06704885
Shivanian, Elyas; Alsulami, Hamed H.; Alhuthali, Mohammed S.; Abbasbandy, Saeid
2014
Numerical and analytical solutions for Falkner-Skan flow of MHD Maxwell fluid. Zbl 1334.76165
Abbasbandy, Saeid; Naz, Rahila; Hayat, Tasawar; Alsaedi, A.
2014
Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method. Zbl 1337.34007
Allahviranloo, T.; Abbasbandy, S.; Behzadi, Sh. S.
2014
The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations. Zbl 1305.65241
Behzadi, Sh. S.; Allahviranloo, T.; Abbasbandy, S.
2014
A homotopy analysis solution to large deformation of beams under static arbitrary distributed load. Zbl 1427.74180
2014
A super accurate shifted tau method for numerical computation of the Sobolev-type differential equation with nonlocal boundary conditions. Zbl 1334.35017
Soltanalizadeh, B.; Ghehsareh, H. Roohani; Abbasbandy, S.
2014
A brief note on the computation of the Bödewadt flow with Navier slip boundary conditions. Zbl 1391.76112
Sahoo, Bikash; Abbasbandy, Saeid; Poncet, Sébastien
2014
Approximation of backward heat conduction problem using Gaussian radial basis functions. Zbl 1349.65406
Abbasbandy, S.; Azarnavid, B.; Hashim, I.; Alsaedi, A.
2014
Fuzzy collocation methods for second-order fuzzy Abel-Volterra integro-differential equations. Zbl 1339.65246
Behzadi, S. S.; Allahviranloo, T.; Abbasbandy, S.
2014
Pseudospectral methods based on nonclassical orthogonal polynomials for solving nonlinear variational problems. Zbl 1304.49064
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid
2014
Fractional-order Legendre functions for solving fractional-order differential equations. Zbl 1449.33012
Kazem, S.; Abbasbandy, S.; Kumar, Sunil
2013
A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation. Zbl 1287.65083
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
2013
On convergence of homotopy analysis method and its application to fractional integro-differential equations. Zbl 1274.65229
Abbasbandy, Saeid; Hashemi, Mir Sajjad; Hashim, Ishak
2013
Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Zbl 1293.76123
Chamkha, Ali J.; Abbasbandy, S.; Rashad, A. M.; Vajravelu, K.
2013
Group analysis of the modified generalized Vakhnenko equation. Zbl 1261.35138
Hashemi, M. S.; Nucci, M. C.; Abbasbandy, S.
2013
Determination of optimal convergence-control parameter value in homotopy analysis method. Zbl 1283.65073
Abbasbandy, S.; Jalili, M.
2013
On solutions of linear fractional differential equations with uncertainty. Zbl 1296.34007
Allahviranloo, T.; Abbasbandy, S.; Shahryari, M. R. Balooch; Salahshour, S.; Baleanu, D.
2013
A new approach to determine the convergence-control parameter in the application of the homotopy analysis method to systems of linear equations. Zbl 1291.65098
Ghanbari, M.; Abbasbandy, S.; Allahviranloo, T.
2013
Revision of sign distance method for ranking of fuzzy numbers. Zbl 1331.03035
Abbasbandy, Saeid; Nuraei, Rahele; Ghanbari, Mojtaba
2013
Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order. Zbl 07095489
Kazemi Nasab, A.; Kılıçman, A.; Pashazadeh Atabakan, Z.; Abbasbandy, S.
2013
Solutions for MHD viscous flow due to a shrinking sheet by Hankel-Padé method. Zbl 1356.76415
Abbasbandy, S.; Ghehsareh, H. Roohani
2013
An efficient method to obtain semi-analytical solutions of the nano boundary layers over stretching surfaces. Zbl 1357.65223
2013
A generalized continuous model for random markets. Zbl 1310.91107
Lopez-Ruiz, Ricardo; Shivanian, Elyas; Abbasbandy, Saied; Lopez, Jose-Luis
2013
Ranking fuzzy numbers and its extensions. Zbl 1299.00005
Allahviranloo, Tofigh (ed.); Yager, Ronald R. (ed.); Abbasbandy, Saeid (ed.); Ulutagay, Gozde (ed.)
2013
Analytical solution of the transpiration on the boundary layer flow and heat transfer over a vertical slender cylinder. Zbl 1274.76273
Abbasbandy, S.; Modarrespoor, D.; Parand, K.; Rad, J. A.
2013
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
Explicit solutions of fractional differential equations with uncertainty. Zbl 1259.34009
Allahviranloo, T.; Salahshour, S.; Abbasbandy, S.
2012
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Zbl 1352.65263
2012
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function. Zbl 1352.92003
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
2012
Numerical solution of linear fuzzy Fredholm integral equations of the second kind using fuzzy Haar wavelet. Zbl 1252.65217
Ziari, Shokrollah; Ezzati, Reza; Abbasbandy, Saeid
2012
An adaptive pseudospectral method for fractional order boundary value problems. Zbl 1261.34009
Maleki, Mohammad; Hashim, Ishak; Kajani, Majid Tavassoli; Abbasbandy, Saeid
2012
Solution of time-varying delay systems using an adaptive collocation method. Zbl 1291.65246
Maleki, Mohammad; Hashim, I.; Abbasbandy, S.
2012
An approximate solution of the MHD flow over a non-linear stretching sheet by rational Chebyshev collocation method. Zbl 1299.76175
Abbasbandy, Saeid; Roohani Ghehsareh, H.; Hashim, I.
2012
Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model. Zbl 1256.65077
Vosoughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid
2012
Application of homotopy analysis method for solving a class of nonlinear Volterra-Fredholm integro-differential equations. Zbl 1304.34110
2012
Exact analytical solution of the MHD Jeffery-Hamel flow problem. Zbl 1293.76162
Abbasbandy, S.; Shivanian, E.
2012
Effects of thermocapillarity and thermal radiation on flow and heat transfer in a thin liquid film on an unsteady stretching sheet. Zbl 1264.76102
Aziz, R. C.; Hashim, I.; Abbasbandy, S.
2012
Analysis of IVPs and BVPs on semi-infinite domains via collocation methods. Zbl 1244.76067
Maleki, Mohammad; Hashim, Ishak; Abbasbandy, Saeid
2012
Solving fully fuzzy linear systems by using implicit Gauss-Cholesky algorithm. Zbl 1253.65037
Abbasbandy, S.; Hashemi, M. S.
2012
Solutions of the magnetohydrodynamic flow over a nonlinear stretching sheet and nano boundary layers over stretching surfaces. Zbl 1412.76100
Abbasbandy, S.; Ghehsareh, H. Roohani
2012
Interpolation of fuzzy data by using quartic piecewise polynomials induced from $$E(3)$$ cubic splines. Zbl 1271.65026
Behforooz, Hossein; Ezzati, Reza; Abbasbandy, Saeid
2012
Solving fully fuzzy linear systems using implicit Gauss-Cholesky algorithm. Zbl 1262.65044
Abbasbandy, S.; Hashemi, M. S.
2012
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
Mathematical properties of $$\hbar$$-curve in the frame work of the homotopy analysis method. Zbl 1222.65060
Abbasbandy, S.; Shivanian, E.; Vajravelu, K.
2011
A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation. Zbl 1222.65150
Parand, K.; Abbasbandy, S.; Kazem, S.; Rad, J. A.
2011
MLPG method for two-dimensional diffusion equation with Neumann’s and non-classical boundary conditions. Zbl 1206.65229
2011
A new application of the homotopy analysis method: solving the Sturm-Liouville problems. Zbl 1221.65189
2011
A new method for solving fuzzy linear differential equations. Zbl 1238.34005
Allahviranloo, T.; Abbasbandy, S.; Salahshour, S.; Hakimzadeh, A.
2011
An improved numerical method for a class of astrophysics problems based on radial basis functions. Zbl 1218.85008
Parand, K.; Abbasbandy, S.; Kazem, S.; Rezaei, A. R.
2011
Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium. Zbl 1221.76156
Parand, K.; Abbasbandy, S.; Kazem, S.; Rezaei, A. R.
2011
A new analytical technique to solve Fredholm’s integral equations. Zbl 1208.45006
Abbasbandy, Saeid; Shivanian, E.
2011
Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations. Zbl 1234.34009
Abbasbandy, S.; Bervillier, C.
2011
Predictor homotopy analysis method and its application to some nonlinear problems. Zbl 1221.65190
Abbasbandy, S.; Shivanian, E.
2011
A new analytical technique to solve Volterra’s integral equations. Zbl 1239.65084
Vosughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid
2011
Group preserving scheme for the Cauchy problem of the Laplace equation. Zbl 1259.65189
Abbasbandy, S.; Hashemi, M. S.
2011
On series solution for unsteady boundary layer equations in a special third grade fluid. Zbl 1419.76151
Abbasbandy, S.; Hayat, T.
2011
...and 120 more Documents
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#### Cited in 228 Serials

 211 Applied Mathematics and Computation 87 Computers & Mathematics with Applications 83 Communications in Nonlinear Science and Numerical Simulation 73 Fuzzy Sets and Systems 70 Journal of Computational and Applied Mathematics 61 Applied Mathematical Modelling 59 Chaos, Solitons and Fractals 59 Mathematical Problems in Engineering 58 Engineering Analysis with Boundary Elements 55 Abstract and Applied Analysis 54 Soft Computing 48 International Journal of Numerical Methods for Heat & Fluid Flow 46 Journal of Applied Mathematics 38 Numerical Algorithms 38 International Journal of Applied and Computational Mathematics 37 International Journal of Computer Mathematics 34 Information Sciences 34 Numerical Methods for Partial Differential Equations 32 Advances in Difference Equations 31 Computational and Applied Mathematics 30 International Journal for Numerical Methods in Fluids 28 Nonlinear Analysis. Real World Applications 27 Journal of Intelligent and Fuzzy Systems 25 Applied Numerical Mathematics 24 Mathematical and Computer Modelling 22 Mathematical Methods in the Applied Sciences 22 Nonlinear Dynamics 21 Mathematical Sciences 18 Applied Mathematics and Mechanics. (English Edition) 16 Journal of the Egyptian Mathematical Society 16 Advances in Fuzzy Systems 16 AMM. Applied Mathematics and Mechanics. (English Edition) 15 Computational Mathematics and Modeling 14 Physics Letters. A 14 Applied Mathematics Letters 14 Journal of Applied Mechanics and Technical Physics 12 International Journal of Heat and Mass Transfer 12 Journal of the Franklin Institute 12 Meccanica 12 Fuzzy Information and Engineering 11 Journal of Computational Physics 11 International Journal of Approximate Reasoning 11 Complexity 11 S$$\vec{\text{e}}$$MA Journal 10 Mathematics and Computers in Simulation 10 Journal of Applied Mathematics and Computing 10 Tbilisi Mathematical Journal 10 International Journal of Differential Equations 9 Computers and Fluids 9 Journal of Mathematical Chemistry 8 Discrete Dynamics in Nature and Society 8 Boundary Value Problems 8 Advances in Mathematical Physics 7 International Journal of Modern Physics B 7 Acta Applicandae Mathematicae 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Discrete and Continuous Dynamical Systems. Series S 7 Symmetry 7 Mathematics 6 Acta Mechanica 6 Computer Physics Communications 6 Fractional Calculus & Applied Analysis 6 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 6 Mediterranean Journal of Mathematics 6 Asian-European Journal of Mathematics 6 International Journal of Biomathematics 6 Journal of Nonlinear Science and Applications 6 Journal of Linear and Topological Algebra 5 Journal of Mathematical Analysis and Applications 5 Computational Mathematics and Mathematical Physics 5 Journal of Vibration and Control 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Fuzzy Optimization and Decision Making 5 Inverse Problems in Science and Engineering 5 Applications and Applied Mathematics 5 International Journal of Engineering Mathematics 4 Opsearch 4 European Journal of Operational Research 4 Iranian Journal of Fuzzy Systems 4 Differential Equations & Nonlinear Mechanics 4 European Journal of Pure and Applied Mathematics 4 International Journal for Numerical Methods in Biomedical Engineering 4 Arabian Journal for Science and Engineering 4 Journal of Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 International Journal for Numerical Methods in Engineering 3 Journal of Optimization Theory and Applications 3 Turkish Journal of Mathematics 3 European Journal of Mechanics. A. Solids 3 European Journal of Mechanics. B. Fluids 3 RAIRO. Operations Research 3 International Journal of Computational Methods 3 Fixed Point Theory and Applications 3 The Journal of Prime Research in Mathematics 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 Acta Universitatis Sapientiae. Mathematica 3 Journal of Mathematics and Computer Science. JMCS ...and 128 more Serials
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#### Cited in 51 Fields

 1,133 Numerical analysis (65-XX) 489 Ordinary differential equations (34-XX) 456 Partial differential equations (35-XX) 386 Fluid mechanics (76-XX) 228 Integral equations (45-XX) 173 Real functions (26-XX) 143 Classical thermodynamics, heat transfer (80-XX) 108 Mathematical logic and foundations (03-XX) 81 Biology and other natural sciences (92-XX) 70 Operations research, mathematical programming (90-XX) 64 Mechanics of deformable solids (74-XX) 63 Linear and multilinear algebra; matrix theory (15-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Approximations and expansions (41-XX) 44 Computer science (68-XX) 38 Dynamical systems and ergodic theory (37-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 30 Systems theory; control (93-XX) 28 Operator theory (47-XX) 27 Special functions (33-XX) 24 Integral transforms, operational calculus (44-XX) 23 Statistics (62-XX) 21 Functional analysis (46-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Optics, electromagnetic theory (78-XX) 14 General algebraic systems (08-XX) 14 Probability theory and stochastic processes (60-XX) 14 Mechanics of particles and systems (70-XX) 13 Quantum theory (81-XX) 12 Difference and functional equations (39-XX) 10 Measure and integration (28-XX) 8 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Field theory and polynomials (12-XX) 3 Number theory (11-XX) 3 Potential theory (31-XX) 3 Mathematics education (97-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX)

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