## Abbasbandy, Saeid

Compute Distance To:
 Author ID: abbasbandy.saeid Published as: Abbasbandy, S.; Abbasbandy, Saeid; Abbasbandy, Saeed; Abbasbandy, Saied; Abbasbandi, S. more...less Homepage: http://www.abbasbandy.com/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 288 Publications since 1992 Co-Authors: 166 Co-Authors with 258 Joint Publications 4,495 Co-Co-Authors
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### Serials

 38 Applied Mathematics and Computation 21 Communications in Nonlinear Science and Numerical Simulation 13 Engineering Analysis with Boundary Elements 11 Journal of Computational and Applied Mathematics 9 Chaos, Solitons and Fractals 8 Mathematical & Computational Applications 7 International Journal of Computer Mathematics 7 Iranian Journal of Fuzzy Systems 6 Numerical Algorithms 6 Applied Mathematical Modelling 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Soft Computing 6 Mathematical Sciences 5 Nonlinear Studies 5 Applications and Applied Mathematics 4 International Journal for Numerical Methods in Fluids 4 Physics Letters. A 4 Applied Numerical Mathematics 4 Mathematical Problems in Engineering 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 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 Filomat 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 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics 2 International Journal of Nonlinear Analysis and Applications 2 Journal of Mathematical Extension 2 Mathematics 2 Iranian Journal of Numerical Analysis and Optimization 2 Computational Methods for Differential Equations 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 Matematički 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 Computational Mathematics and Mathematical Physics 1 Journal of Institute of Mathematics and Computer Sciences. Mathematics Series 1 Notes on Intuitionistic Fuzzy Sets 1 Southwest Journal of Pure and Applied Mathematics 1 Differential Equations and Dynamical Systems 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 Journal of Applied Mathematics and Computing 1 Inverse Problems in Science and Engineering 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 Applied Analysis and Computation 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition)
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### Fields

 184 Numerical analysis (65-XX) 63 Partial differential equations (35-XX) 62 Ordinary differential equations (34-XX) 40 Fluid mechanics (76-XX) 34 Real functions (26-XX) 32 Integral equations (45-XX) 15 General algebraic systems (08-XX) 13 Approximations and expansions (41-XX) 12 Mathematical logic and foundations (03-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 7 Operations research, mathematical programming (90-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistics (62-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Group theory and generalizations (20-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 General and overarching topics; collections (00-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) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

245 Publications have been cited 4,603 times in 2,617 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
Fractional-order Legendre functions for solving fractional-order differential equations. Zbl 1449.33012
Kazem, S.; Abbasbandy, S.; Kumar, Sunil
2013
Solving fuzzy fractional differential equations by fuzzy Laplace transforms. Zbl 1245.35146
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.
2012
Soliton solutions for the fifth-order KdV equation with the homotopy analysis method. Zbl 1170.76317
2008
Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian’s decomposition method. Zbl 1088.65063
Abbasbandy, S.
2006
Numerical solutions of the integral equations: homotopy perturbation method and Adomian’s decomposition method. Zbl 1090.65143
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
Explicit solutions of fractional differential equations with uncertainty. Zbl 1259.34009
Allahviranloo, T.; Salahshour, S.; Abbasbandy, S.
2012
A new approach for ranking of trapezoidal fuzzy numbers. Zbl 1165.03337
Abbasbandy, S.; Hajjari, T.
2009
Ranking of fuzzy numbers by sign distance. Zbl 1293.62008
2006
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Iterated He’s homotopy perturbation method for quadratic Riccati differential equation. Zbl 1089.65072
Abbasbandy, S.
2006
Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method. Zbl 1167.35395
Abbasbandy, S.
2008
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
Application of He’s homotopy perturbation method to functional integral equations. Zbl 1139.65085
Abbasbandy, S.
2007
The Lie-group shooting method for solving the Bratu equation. Zbl 1222.65067
Abbasbandy, S.; Hashemi, M. S.; Liu, Chein-Shan
2011
Numerical methods for fuzzy differential inclusions. Zbl 1074.65072
Abbasbandy, S.; Allah Viranloo, T.; López-Pouso, Ó.; Nieto, J. J.
2004
Solution of the MHD Falkner-Skan flow by homotopy analysis method. Zbl 1221.76133
Abbasbandy, S.; Hayat, T.
2009
The nearest trapezoidal fuzzy number to a fuzzy quantity. Zbl 1058.03516
2004
A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation. Zbl 1287.65083
Abbasbandy, S.; Roohani Ghehsareh, H.; Hashim, I.
2013
$$LU$$ decomposition method for solving fuzzy system of linear equations. Zbl 1088.65023
Abbasbandy, S.; Ezzati, R.; Jafarian, A.
2006
Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems. Zbl 1197.65096
2010
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Zbl 1352.65263
2012
Application of He’s homotopy perturbation method for Laplace transform. Zbl 1142.65417
Abbasbandy, S.
2006
The first integral method for modified Benjamin-Bona-Mahony equation. Zbl 1222.35166
2010
Tuning of reachable set in one dimensional fuzzy differential inclusions. Zbl 1073.65054
Abbasbandy, S.; Nieto, Juan J.; Alavi, M.
2005
Numerical solution of nonlinear Klein-Gordon equations by variational iteration method. Zbl 1194.65120
Abbasbandy, Saeid
2007
Fuzzy general linear systems. Zbl 1119.65325
Asady, B.; Abbasbandy, S.; Alavi, M.
2005
Homotopy analysis method for the Kawahara equation. Zbl 1181.35224
Abbasbandy, S.
2010
Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Zbl 1137.65442
Abbasbandy, S.; Babolian, E.; Alavi, M.
2007
Mathematical properties of $$\hbar$$-curve in the frame work of the homotopy analysis method. Zbl 1222.65060
Abbasbandy, S.; Shivanian, E.; Vajravelu, K.
2011
Newton-homotopy analysis method for nonlinear equations. Zbl 1119.65032
Abbasbandy, S.; Tan, Y.; Liao, S. J.
2007
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
Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method. Zbl 1173.35646
Abbasbandy, S.
2008
Solving linear integro-differential equations system by using rationalized Haar functions method. Zbl 1056.65144
Maleknejad, K.; Mirzaee, F.; Abbasbandy, S.
2004
Numerical solution of fuzzy differential equation by Runge-Kutta method. Zbl 1056.65069
Abbasbandy, S.; Allah Viranloo, T.
2004
Conjugate gradient method for fuzzy symmetric positive definite system of linear equations. Zbl 1121.65311
Abbasbandy, S.; Jafarian, A.; Ezzati, R.
2005
The nearest approximation of a fuzzy quantity in parametric form. Zbl 1097.41001
Abbasbandy, S.; Amirfakhrian, M.
2006
The nearest trapezoidal form of a generalized left right fuzzy number. Zbl 1112.03316
Abbasbandy, S.; Amirfakhrian, M.
2006
The homotopy analysis method for multiple solutions of nonlinear boundary value problems. Zbl 1221.65170
Abbasbandy, S.; Magyari, E.; Shivanian, E.
2009
MLPG method for two-dimensional diffusion equation with Neumann’s and non-classical boundary conditions. Zbl 1206.65229
2011
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
Steepest descent method for system of fuzzy linear equations. Zbl 1088.65026
Abbasbandy, S.; Jafarian, A.
2006
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
Homotopy analysis method for generalized Benjamin-Bona-Mahony equation. Zbl 1139.35325
Abbasbandy, S.
2008
A meshless method for two-dimensional diffusion equation with an integral condition. Zbl 1244.76068
2010
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 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 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
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
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
A new application of the homotopy analysis method: solving the Sturm-Liouville problems. Zbl 1221.65189
2011
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
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
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 new method for solving fuzzy linear differential equations. Zbl 1238.34005
Allahviranloo, T.; Abbasbandy, S.; Salahshour, S.; Hakimzadeh, A.
2011
Minimal solution of general dual fuzzy linear systems. Zbl 1146.15002
Abbasbandy, S.; Otadi, M.; Mosleh, M.
2008
Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method. Zbl 1088.65043
Abbasbandy, S.
2006
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
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
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
Extended Newton’s method for a system of nonlinear equations by modified Adomian decomposition method. Zbl 1082.65531
Abbasbandy, S.
2005
Solution of the MHD Falkner-Skan flow by Hankel-Padé method. Zbl 1227.76068
Abbasbandy, S.; Hayat, T.
2009
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 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
A new analytical technique to solve Fredholm’s integral equations. Zbl 1208.45006
Abbasbandy, Saeid; Shivanian, E.
2011
Numerical solution of fuzzy polynomials by fuzzy neural network. Zbl 1105.65053
2006
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 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
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
Weighted trapezoidal approximation-preserving cores of a fuzzy number. Zbl 1193.26026
Abbasbandy, S.; Hajjari, T.
2010
Numerical solution of a system of fuzzy polynomials by fuzzy neural network. Zbl 1137.65032
Abbasbandy, S.; Otadi, M.; Mosleh, M.
2008
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 method for solving fuzzy linear systems. Zbl 1104.15004
Abbasbandy, S.; Alavi, M.
2005
Newton’s method for solving fuzzy nonlinear equations. Zbl 1060.65049
2004
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
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
Improved predictor-corrector method for solving fuzzy initial value problems. Zbl 1165.65042
2009
Numerical method for nonlinear wave and diffusion equations by the variational iteration method. Zbl 1159.76372
Abbasbandy, S.
2008
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
Group analysis of the modified generalized Vakhnenko equation. Zbl 1261.35138
Hashemi, M. S.; Nucci, M. C.; Abbasbandy, S.
2013
Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations. Zbl 1234.34009
Abbasbandy, S.; Bervillier, C.
2011
Newton’s method for solving a system of fuzzy nonlinear equations. Zbl 1093.65049
Abbasbandy, S.; Ezzati, R.
2006
A new analytical technique to solve Volterra’s integral equations. Zbl 1239.65084
Vosughi, Hossein; Shivanian, Elyas; Abbasbandy, Saeid
2011
$$M$$-fractional derivative under interval uncertainty: theory, properties and applications. Zbl 1442.34023
Salahshour, S.; Ahmadian, A.; Abbasbandy, S.; Baleanu, D.
2018
A numerical method for solving a class of functional and two-dimensional integral equations. Zbl 1137.65065
Babolian, E.; Abbasbandy, S.; Fattahzadeh, F.
2008
A collocation method for fractional diffusion equation in a long time with Chebyshev functions. Zbl 1427.65281
Baseri, A.; Abbasbandy, S.; Babolian, E.
2018
Numerical solution of the generalized Zakharov equation by homotopy analysis method. Zbl 1221.65269
Abbasbandy, S.; Babolian, E.; Ashtiani, M.
2009
Predictor homotopy analysis method and its application to some nonlinear problems. Zbl 1221.65190
Abbasbandy, S.; Shivanian, E.
2011
Some error estimates for the reproducing kernel Hilbert spaces method. Zbl 1342.65170
Abbasbandy, Saeid; Azarnavid, Babak
2016
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
Numerical approximation of fuzzy functions by fuzzy polynomials. Zbl 1094.65015
Abbasbandy, S.; Amirfakhrian, M.
2006
Group preserving scheme for the Cauchy problem of the Laplace equation. Zbl 1259.65189
Abbasbandy, S.; Hashemi, M. S.
2011
An adaptive pseudospectral method for fractional order boundary value problems. Zbl 1261.34009
Maleki, Mohammad; Hashim, Ishak; Kajani, Majid Tavassoli; Abbasbandy, Saeid
2012
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
Implementing reproducing kernel method to solve singularly perturbed convection-diffusion parabolic problems. Zbl 1479.35046
Abbasbandy, Saeid; Sahihi, Hussein; Allahviranloo, Tofigh
2021
Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions. Zbl 1464.65192
Abbasbandy, Saeid; Shivanian, Elyas; AL-Jizani, Khalid Hammood; Atluri, Satya N.
2021
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
A new class of polynomial functions for approximate solution of generalized Benjamin-Bona-Mahony-Burgers (gBBMB) equations. Zbl 1433.65238
Hajishafieiha, J.; Abbasbandy, S.
2020
Valid implementation of sinc-collocation method to solve the fuzzy Fredholm integral equation. Zbl 1433.65356
2020
A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition. Zbl 1475.65105
Hajishafieiha, J.; Abbasbandy, S.
2020
Meshless singular boundary method for two-dimensional pseudo-parabolic equation: analysis of stability and convergence. Zbl 1475.65154
Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas
2020
Solving fractional-order delay integro-differential equations using operational matrix based on fractional-order Euler polynomials. Zbl 1452.65143
Rezabeyk, S.; Abbasbandy, S.; Shivanian, E.
2020
Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn-Hilliard conditions. Zbl 1449.65336
Shivanian, Elyas; Abbasbandy, Saeid
2020
The traveling wave solution of the fuzzy linear partial differential equation. Zbl 1439.35552
Shahasavari, Zahra; Allahviranloo, Tofigh; Abbasbandy, Saeid; Rostamy-Malkhalifeh, Mohsen
2020
Quasi interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein-Gordon and sine-Gordon equations. Zbl 1482.65207
Emamjomeh, M.; Abbasbandy, S.; Rostamy, D.
2020
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
Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. Zbl 1412.65244
2019
Numerical solution of a modified anomalous diffusion equation with nonlinear source term through meshless singular boundary method. Zbl 1464.65102
Aslefallah, Mohammad; Abbasbandy, Saeid; Shivanian, Elyas
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
A reproducing kernel Hilbert space approach in meshless collocation method. Zbl 1438.65245
Azarnavid, Babak; Emamjome, Mahdi; Nabati, Mohammad; Abbasbandy, Saeid
2019
Fractional cable problem in the frame of meshless singular boundary method. Zbl 1464.74385
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
Numerical solution of fractional partial differential equations with normalized Bernstein wavelet method. Zbl 1434.65203
Entezari, Mahsa; Abbasbandy, Saeid; Babolian, Esmail
2019
Fuzzy reproducing kernel space method for solving fuzzy boundary value problems. Zbl 1452.34005
Gholami, N.; Allahviranloo, T.; Abbasbandy, S.; Karamikabir, N.
2019
Resolution of single-variable fuzzy polynomial equations and an upper bound on the number of solutions. Zbl 1415.65111
Farahani, Hamed; Paripour, Mahmoud; Abbasbandy, Saeid
2019
$$M$$-fractional derivative under interval uncertainty: theory, properties and applications. Zbl 1442.34023
Salahshour, S.; Ahmadian, A.; Abbasbandy, S.; Baleanu, D.
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
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
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
Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique. Zbl 1427.65121
Khaleghi, M.; Talebi Moghaddam, M.; Babolian, E.; Abbasbandy, S.
2018
Local variably scaled Newton basis functions collocation method for solving Burgers’ equation. Zbl 1427.65297
Nojavan, Hananeh; Abbasbandy, Saeid; Mohammadi, Maryam
2018
An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition. Zbl 07263362
Azarnavid, Babak; Parand, Kourosh; Abbasbandy, Saeid
2018
Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation. Zbl 1429.65262
Bakhtiari, P.; Abbasbandy, S.; Van Gorder, R. A.
2018
Solving the Dym initial value problem in reproducing kernel space. Zbl 1393.65038
Bakhtiari, P.; Abbasbandy, S.; Van Gorder, R. A.
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
Chebyshev reproducing kernel method: application to two-point boundary value problems. Zbl 1422.34104
Khaleghi, M.; Babolian, E.; Abbasbandy, S.
2017
A new class of polynomial functions equipped with a parameter. Zbl 1384.33010
Abbasbandy, Saeid
2017
A geometric approach for solving Troesch’s problem. Zbl 1357.65099
Hashemi, M. S.; Abbasbandy, S.
2017
Normalized Bernstein polynomials in solving space-time fractional diffusion equation. Zbl 1444.65057
Baseri, A.; Babolian, E.; 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
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
An unconditionally stable finite difference scheme for equations of conservation law form. Zbl 1381.65063
2017
A new variational iteration method for a class of fractional convection-diffusion equations in large domains. Zbl 1457.65156
Abolhasani, Mohammad; Abbasbandy, Saeid; Allahviranloo, Tofigh
2017
An automatic scheme on the homotopy analysis method for solving nonlinear algebraic equations. Zbl 1381.65036
Al-Shara, Safwan; Awawdeh, Fadi; Abbasbandy, S.
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
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
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
Application of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painlevé I equations. Zbl 1471.34012
2016
Cardinal basis piecewise Hermite interpolation on fuzzy data. Zbl 1397.65023
Vosoughi, H.; Abbasbandy, S.
2016
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
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
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
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
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
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
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
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
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
Picard-reproducing kernel Hilbert space method for solving generalized singular nonlinear Lane-Emden type equations. Zbl 1488.65167
Azarnavid, Babak; Parvaneh, Foroud; Abbasbandy, Saeid
2015
A spectral method for the electrohydrodynamic flow in a circular cylindrical conduit. Zbl 1319.34025
Moghtadaei, Mohsen; Saberi Nik, Hassan; Abbasbandy, Saeid
2015
Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Itô system. Zbl 1457.35050
Abbasbandy, S.; Van Gorder, R. A.; Hajiketabi, M.; Mesrizadeh, M.
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
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
Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method. Zbl 1337.34007
Allahviranloo, T.; Abbasbandy, S.; Behzadi, Sh. S.
2014
Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: existence of four solutions. Zbl 1462.35253
Shivanian, Elyas; Alsulami, Hamed H.; Alhuthali, Mohammed S.; Abbasbandy, Saeid
2014
Predictor homotopy analysis method: two points second order boundary value problems. Zbl 1294.65081
Shivanian, Elyas; 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
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
Solutions for MHD viscous flow due to a shrinking sheet by Hankel-Padé method. Zbl 1356.76415
Abbasbandy, S.; Ghehsareh, H. Roohani
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
An efficient method to obtain semi-analytical solutions of the nano boundary layers over stretching surfaces. Zbl 1357.65223
2013
Chebyshev wavelet finite difference method: a new approach for solving initial and boundary value problems of fractional order. Zbl 1470.65143
Kazemi Nasab, A.; Kılıçman, A.; Pashazadeh Atabakan, Z.; Abbasbandy, S.
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
Revision of sign distance method for ranking of fuzzy numbers. Zbl 1331.03035
Abbasbandy, Saeid; Nuraei, Rahele; Ghanbari, Mojtaba
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
A generalized continuous model for random markets. Zbl 1310.91107
Lopez-Ruiz, Ricardo; Shivanian, Elyas; Abbasbandy, Saied; Lopez, Jose-Luis
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
Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011
Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.
2012
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. Zbl 1352.65263
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
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
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
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
...and 145 more Documents
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### Cited in 286 Serials

 224 Applied Mathematics and Computation 90 Computers & Mathematics with Applications 84 Communications in Nonlinear Science and Numerical Simulation 82 Fuzzy Sets and Systems 80 Journal of Computational and Applied Mathematics 74 Soft Computing 73 Chaos, Solitons and Fractals 70 International Journal of Applied and Computational Mathematics 68 Engineering Analysis with Boundary Elements 61 Applied Mathematical Modelling 61 Mathematical Problems in Engineering 58 Computational and Applied Mathematics 55 International Journal of Computer Mathematics 55 Abstract and Applied Analysis 53 Advances in Difference Equations 48 International Journal of Numerical Methods for Heat & Fluid Flow 47 Journal of Applied Mathematics 40 Numerical Algorithms 35 Applied Numerical Mathematics 34 Information Sciences 34 Numerical Methods for Partial Differential Equations 33 Mathematical Sciences 30 International Journal for Numerical Methods in Fluids 28 Nonlinear Analysis. Real World Applications 27 Journal of Intelligent and Fuzzy Systems 24 Mathematical and Computer Modelling 23 Nonlinear Dynamics 22 Mathematical Methods in the Applied Sciences 22 Mathematics and Computers in Simulation 22 AIMS Mathematics 20 Journal of Function Spaces 19 Advances in Fuzzy Systems 19 Computational Methods for Differential Equations 19 AMM. Applied Mathematics and Mechanics. (English Edition) 18 Applied Mathematics and Mechanics. (English Edition) 16 Physics Letters. A 16 Journal of the Egyptian Mathematical Society 15 Applied Mathematics Letters 15 Computational Mathematics and Modeling 15 Advances in Mathematical Physics 15 S$$\vec{\text{e}}$$MA Journal 14 Physica A 14 Journal of Applied Mechanics and Technical Physics 13 Journal of Applied Mathematics and Computing 13 Iranian Journal of Fuzzy Systems 12 International Journal of Heat and Mass Transfer 12 Journal of the Franklin Institute 12 Meccanica 12 International Journal of Approximate Reasoning 12 Journal of Mathematical Chemistry 12 International Journal of Differential Equations 12 Fuzzy Information and Engineering 11 Journal of Computational Physics 11 Complexity 11 Boundary Value Problems 10 International Journal of Nonlinear Sciences and Numerical Simulation 10 Discrete and Continuous Dynamical Systems. Series S 10 Tbilisi Mathematical Journal 9 Computers and Fluids 9 Discrete Dynamics in Nature and Society 9 International Journal of Computational Methods 9 Inverse Problems in Science and Engineering 8 Computational Mathematics and Mathematical Physics 8 Fractals 8 Applications and Applied Mathematics 8 Journal of Mathematics 7 International Journal of Modern Physics B 7 Acta Mechanica 7 Acta Applicandae Mathematicae 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Fractional Calculus & Applied Analysis 7 International Journal of Biomathematics 7 Symmetry 7 Mathematics 7 Journal of Linear and Topological Algebra 6 Computer Physics Communications 6 Journal of Mathematical Analysis and Applications 6 Filomat 6 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 Mathematical Modelling and Analysis 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 Journal of Nonlinear Science and Applications 5 International Journal of Mathematics and Mathematical Sciences 5 Turkish Journal of Mathematics 5 Journal of Vibration and Control 5 Differential Equations and Dynamical Systems 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Hacettepe Journal of Mathematics and Statistics 5 Fuzzy Optimization and Decision Making 5 Waves in Random and Complex Media 5 Journal of Applied Nonlinear Dynamics 5 International Journal of Engineering Mathematics 4 Numerical Functional Analysis and Optimization 4 Opsearch 4 Journal of Scientific Computing 4 European Journal of Operational Research 4 New Mathematics and Natural Computation 4 Differential Equations & Nonlinear Mechanics ...and 186 more Serials
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### Cited in 52 Fields

 1,416 Numerical analysis (65-XX) 628 Ordinary differential equations (34-XX) 610 Partial differential equations (35-XX) 422 Fluid mechanics (76-XX) 288 Integral equations (45-XX) 246 Real functions (26-XX) 153 Classical thermodynamics, heat transfer (80-XX) 128 Mathematical logic and foundations (03-XX) 107 Biology and other natural sciences (92-XX) 100 Operations research, mathematical programming (90-XX) 76 Mechanics of deformable solids (74-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 52 Approximations and expansions (41-XX) 47 Dynamical systems and ergodic theory (37-XX) 47 Operator theory (47-XX) 47 Computer science (68-XX) 43 Special functions (33-XX) 38 Systems theory; control (93-XX) 34 Integral transforms, operational calculus (44-XX) 33 Statistical mechanics, structure of matter (82-XX) 30 Functional analysis (46-XX) 29 Statistics (62-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Probability theory and stochastic processes (60-XX) 18 Optics, electromagnetic theory (78-XX) 16 Mechanics of particles and systems (70-XX) 15 Difference and functional equations (39-XX) 14 General algebraic systems (08-XX) 13 Quantum theory (81-XX) 11 Measure and integration (28-XX) 8 Number theory (11-XX) 8 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Field theory and polynomials (12-XX) 4 General topology (54-XX) 3 Potential theory (31-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 3 Mathematics education (97-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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