# zbMATH — the first resource for mathematics

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 Documents Indexed: 48 Publications since 2004
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#### Co-Authors

 1 single-authored 27 Dehghan Takht Fooladi, Mehdi 4 Manafian Heris, Jalil 3 Azizi, Mohammad-Reza 3 Eftekhari, Ali 3 Razzaghi, Mohsen 2 Abdolahi-Niasar, Tahereh 2 Bisheh-Niasar, Morteza 2 Sanatkar, Zeinab 2 Toufighi, Seyed Pendar 1 Akbari, Zeinab 1 Akrami-Arani, Mostafa 1 Asadi, Afsaneh 1 Babolian, Esmail 1 Campo, Antonio 1 Darani, Mohammadreza Ahmadi 1 Farsangi, Jalal Askari 1 Fayyaz, Samaneh 1 Khani, Ali 1 Mashhadi-Fini, Fateme 1 Mohabbati, Mohadeseh 1 Moshtaghi, Nasrin 1 Nafar, Nafiseh 1 Pourbabaee, Marzieh 1 Soltanian, Fahimeh 1 Yeganeh, Somayeh
all top 5

#### Serials

 6 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 International Journal of Computer Mathematics 4 Computational Methods for Differential Equations 3 Numerical Methods for Partial Differential Equations 3 Computational and Applied Mathematics 3 Iranian Journal of Mathematical Chemistry 2 Mathematical Methods in the Applied Sciences 2 Mathematical and Computer Modelling 2 Communications in Numerical Methods in Engineering 2 Journal of Vibration and Control 2 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Modern Physics B 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Applied Mathematical Modelling 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematical Problems in Engineering 1 Nonlinear Analysis. Real World Applications 1 Mathematical Reports 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Tbilisi Mathematical Journal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
all top 5

#### Fields

 42 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 12 Ordinary differential equations (34-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 5 Biology and other natural sciences (92-XX) 4 Approximations and expansions (41-XX) 4 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 1,299 times in 886 Documents Cited by Year
A new operational matrix for solving fractional-order differential equations. Zbl 1189.65151
2010
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2010
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
2012
A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203
2011
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
2010
Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems. Zbl 1162.34307
Saadatmandi, Abbas; Dehghan, Mehdi; Eftekhari, Ali
2009
Variational iteration method for solving a generalized pantograph equation. Zbl 1189.65172
2009
Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses. Zbl 1196.35025
Dehghan, Mehdi; Heris, Jalil Manafian; Saadatmandi, Abbas
2010
A Legendre collocation method for fractional integro-differential equations. Zbl 1271.65157
2011
A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification. Zbl 1125.65340
2006
Bernstein operational matrix of fractional derivatives and its applications. Zbl 1427.65134
2014
The use of sinc-collocation method for solving multi-point boundary value problems. Zbl 1244.65114
2012
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
2007
Variational iteration method for solving the wave equation subject to an integral conservation condition. Zbl 1198.65202
2009
Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. Zbl 1193.65229
2010
Chebyshev finite difference method for Fredholm integro-differential equation. Zbl 1131.65107
2008
The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method. Zbl 1133.65050
2007
Bounds for solutions of a six-point partial-difference scheme. Zbl 1054.65094
2004
Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications. Zbl 1191.65128
2010
Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method. Zbl 1151.92017
2008
Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory. Zbl 1085.65065
Saadatmandi, A.; Razzaghi, M.; Dehghan, M.
2005
The numerical solution of third-order boundary value problems using sinc-collocation method. Zbl 1121.65088
2007
The numerical solution of problems in calculus of variation using Chebyshev finite difference method. Zbl 1220.49027
2008
Application of semi-analytical methods for solving the Rosenau-Hyman equation arising in the pattern formation in liquid drops. Zbl 1357.65212
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2012
Analytical treatment of some partial differential equations arising in mathematical physics by using the Exp-function method. Zbl 1333.35234
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2011
A novel Legendre operational matrix for distributed order fractional differential equations. Zbl 1428.34021
2019
Numerical solution of fractional telegraph equation via the Tau method. Zbl 1374.65180
2015
Chebyshev finite difference method for a nonlinear system of second-order boundary value problems. Zbl 1193.65137
2007
A pseudospectral method for nonlinear Duffing equation involving both integral and non-integral forcing terms. Zbl 1317.65259
2015
The numerical solution of differential-algebraic equations by sinc-collocation method. Zbl 1272.65063
Yeganeh, Somayeh; Saadatmandi, Abbas; Soltanian, Fahimeh; Dehghan, Mehdi
2013
The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications. Zbl 1424.65121
2017
Chebyshev finite difference method for a two-point boundary value problems with applications to chemical reactor theory. Zbl 1293.65107
2012
Hartley series approximations for the parabolic equations. Zbl 1075.65128
Saadatmandi, A.; Razzaghi, M.; Dehghan, M.
2005
Collocation method using quintic B-spline and sinc functions for solving a model of squeezing flow between two infinite plates. Zbl 1355.76043
2016
Numerical study on the reaction cum diffusion process in a spherical biocatalyst. Zbl 1367.92050
Saadatmandi, Abbas; Nafar, Nafiseh; Toufighi, Seyed Pendar
2014
The Legendre-tau technique for the determination of a source parameter in a semilinear parabolic equation. Zbl 1200.65077
Saadatmandi, Abbas; Dehghan, Mehdi; Campo, Antonio
2006
A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems. Zbl 1318.65043
Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas
2015
A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order. Zbl 1434.65208
2018
Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants. Zbl 1424.92003
2018
Computational methods for solving the steady flow of a third grade fluid in a porous half space. Zbl 1411.76122
Saadatmandi, Abbas; Sanatkar, Zeinab; Toufighi, Seyed Pendar
2017
Transformed Hermite functions on a finite interval and their applications to a class of singular boundary value problems. Zbl 1375.65102
2017
A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement. Zbl 1428.93039
2012
A novel Legendre operational matrix for distributed order fractional differential equations. Zbl 1428.34021
2019
A sinc-Gauss-Jacobi collocation method for solving Volterra’s population growth model with fractional order. Zbl 1434.65208
2018
Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants. Zbl 1424.92003
2018
The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications. Zbl 1424.65121
2017
Computational methods for solving the steady flow of a third grade fluid in a porous half space. Zbl 1411.76122
Saadatmandi, Abbas; Sanatkar, Zeinab; Toufighi, Seyed Pendar
2017
Transformed Hermite functions on a finite interval and their applications to a class of singular boundary value problems. Zbl 1375.65102
2017
Collocation method using quintic B-spline and sinc functions for solving a model of squeezing flow between two infinite plates. Zbl 1355.76043
2016
Numerical solution of fractional telegraph equation via the Tau method. Zbl 1374.65180
2015
A pseudospectral method for nonlinear Duffing equation involving both integral and non-integral forcing terms. Zbl 1317.65259
2015
A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems. Zbl 1318.65043
Babolian, Esmail; Eftekhari, Ali; Saadatmandi, Abbas
2015
Bernstein operational matrix of fractional derivatives and its applications. Zbl 1427.65134
2014
Numerical study on the reaction cum diffusion process in a spherical biocatalyst. Zbl 1367.92050
Saadatmandi, Abbas; Nafar, Nafiseh; Toufighi, Seyed Pendar
2014
The numerical solution of differential-algebraic equations by sinc-collocation method. Zbl 1272.65063
Yeganeh, Somayeh; Saadatmandi, Abbas; Soltanian, Fahimeh; Dehghan, Mehdi
2013
The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients. Zbl 1250.65121
2012
The use of sinc-collocation method for solving multi-point boundary value problems. Zbl 1244.65114
2012
Application of semi-analytical methods for solving the Rosenau-Hyman equation arising in the pattern formation in liquid drops. Zbl 1357.65212
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2012
Chebyshev finite difference method for a two-point boundary value problems with applications to chemical reactor theory. Zbl 1293.65107
2012
A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement. Zbl 1428.93039
2012
A tau approach for solution of the space fractional diffusion equation. Zbl 1228.65203
2011
A Legendre collocation method for fractional integro-differential equations. Zbl 1271.65157
2011
Analytical treatment of some partial differential equations arising in mathematical physics by using the Exp-function method. Zbl 1333.35234
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2011
A new operational matrix for solving fractional-order differential equations. Zbl 1189.65151
2010
Solving nonlinear fractional partial differential equations using the homotopy analysis method. Zbl 1185.65187
Dehghan, Mehdi; Manafian, Jalil; Saadatmandi, Abbas
2010
Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Zbl 1186.65136
2010
Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses. Zbl 1196.35025
Dehghan, Mehdi; Heris, Jalil Manafian; Saadatmandi, Abbas
2010
Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. Zbl 1193.65229
2010
Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications. Zbl 1191.65128
2010
Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems. Zbl 1162.34307
Saadatmandi, Abbas; Dehghan, Mehdi; Eftekhari, Ali
2009
Variational iteration method for solving a generalized pantograph equation. Zbl 1189.65172
2009
Variational iteration method for solving the wave equation subject to an integral conservation condition. Zbl 1198.65202
2009
Chebyshev finite difference method for Fredholm integro-differential equation. Zbl 1131.65107
2008
Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method. Zbl 1151.92017
2008
The numerical solution of problems in calculus of variation using Chebyshev finite difference method. Zbl 1220.49027
2008
Numerical solution of the one-dimensional wave equation with an integral condition. Zbl 1112.65097
2007
The numerical solution of a nonlinear system of second-order boundary value problems using the sinc-collocation method. Zbl 1133.65050
2007
The numerical solution of third-order boundary value problems using sinc-collocation method. Zbl 1121.65088
2007
Chebyshev finite difference method for a nonlinear system of second-order boundary value problems. Zbl 1193.65137
2007
A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification. Zbl 1125.65340
2006
The Legendre-tau technique for the determination of a source parameter in a semilinear parabolic equation. Zbl 1200.65077
Saadatmandi, Abbas; Dehghan, Mehdi; Campo, Antonio
2006
Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory. Zbl 1085.65065
Saadatmandi, A.; Razzaghi, M.; Dehghan, M.
2005
Hartley series approximations for the parabolic equations. Zbl 1075.65128
Saadatmandi, A.; Razzaghi, M.; Dehghan, M.
2005
Bounds for solutions of a six-point partial-difference scheme. Zbl 1054.65094
2004
all top 5

#### Cited by 1,171 Authors

 101 Applied Mathematics and Computation 52 Computers & Mathematics with Applications 39 Journal of Computational and Applied Mathematics 38 Applied Mathematical Modelling 33 Mathematical Methods in the Applied Sciences 30 Applied Numerical Mathematics 28 International Journal of Computer Mathematics 28 Advances in Difference Equations 27 Numerical Algorithms 23 Computational and Applied Mathematics 22 Abstract and Applied Analysis 22 Communications in Nonlinear Science and Numerical Simulation 22 International Journal of Applied and Computational Mathematics 20 Journal of Computational Physics 20 International Journal of Numerical Methods for Heat & Fluid Flow 17 Numerical Methods for Partial Differential Equations 17 Mathematical Problems in Engineering 12 Computer Physics Communications 12 Engineering Analysis with Boundary Elements 11 Chaos, Solitons and Fractals 10 Journal of Vibration and Control 10 Discrete Dynamics in Nature and Society 10 Journal of Applied Mathematics 9 Applied Mathematics Letters 9 Advances in Mathematical Physics 9 International Journal for Numerical Methods in Biomedical Engineering 9 S$$\vec{\text{e}}$$MA Journal 9 Computational Methods for Differential Equations 8 Nonlinear Dynamics 8 International Journal of Computational Methods 8 Inverse Problems in Science and Engineering 7 Fractional Calculus & Applied Analysis 7 Mathematical Sciences 6 Mathematical and Computer Modelling 6 International Journal of Biomathematics 5 Applicable Analysis 5 Journal of the Egyptian Mathematical Society 5 Turkish Journal of Mathematics 5 Journal of Mathematical Chemistry 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Complexity 4 International Journal of Nonlinear Sciences and Numerical Simulation 3 International Journal of Modern Physics B 3 Calcolo 3 Mathematics and Computers in Simulation 3 Journal of Scientific Computing 3 Differential Equations and Dynamical Systems 3 Applications and Applied Mathematics 3 Asian-European Journal of Mathematics 3 Tbilisi Mathematical Journal 3 Afrika Matematika 3 Mathematics 3 International Journal of Engineering Mathematics 3 Journal of Function Spaces 2 International Journal of Control 2 Physics Letters. A 2 Kybernetes 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Linear Algebra and its Applications 2 Communications in Numerical Methods in Engineering 2 Taiwanese Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Analysis. Modelling and Control 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Applied Mathematics and Computing 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Communications in Theoretical Physics 2 International Journal of Differential Equations 2 Symmetry 2 Asian Journal of Control 2 Iranian Journal of Mathematical Sciences and Informatics 2 Journal of Applied Analysis and Computation 2 Journal of Mathematical Modeling 2 Cogent Mathematics 2 Transactions of A. Razmadze Mathematical Institute 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Journal of Geometry and Physics 1 BIT 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Programming and Computer Software 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Facta Universitatis. Series Mathematics and Informatics 1 Computational Mechanics 1 Automation and Remote Control ...and 39 more Serials