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## Mohebbi, Akbar

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 Author ID: mohebbi.akbar Published as: Mohebbi, A.; Mohebbi, Akbar
 Documents Indexed: 42 Publications since 2006
all top 5

#### Co-Authors

 7 single-authored 30 Dehghan Takht Fooladi, Mehdi 19 Abbaszadeh, Mostafa 3 Asgari, Zohreh 1 Abbasi, Masoume 1 Faraz, Zahra 1 Liao, Wenyuan
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#### Serials

 7 Engineering Analysis with Boundary Elements 5 Journal of Computational and Applied Mathematics 4 Numerical Methods for Partial Differential Equations 3 Numerical Algorithms 2 Computers & Mathematics with Applications 2 Computer Physics Communications 2 Applied Mathematical Modelling 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Kybernetes 1 Mathematics and Computers in Simulation 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Journal of Applied Mathematics and Computing 1 Inverse Problems in Science and Engineering
all top 5

#### Fields

 41 Numerical analysis (65-XX) 34 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 918 times in 643 Documents Cited by Year
The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics. Zbl 1352.65397
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1287.65064
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2014
High-order compact solution of the one-dimensional heat and advection-diffusion equations. Zbl 1201.65183
Mohebbi, Akbar; Dehghan, Mehdi
2010
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
2009
The use of compact boundary value method for the solution of two-dimensional Schrödinger equation. Zbl 1159.65081
Mohebbi, Akbar; Dehghan, Mehdi
2009
High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. Zbl 1190.65126
Mohebbi, Akbar; Dehghan, Mehdi
2010
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
2008
The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. Zbl 1315.65086
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh
2009
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
High-order compact boundary value method for the solution of unsteady convection-diffusion problems. Zbl 1155.65075
Dehghan, Mehdi; Mohebbi, Akbar
2008
A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083
2013
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Zbl 1286.76014
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
2013
Numerical solution of system of $$N$$-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187
Dehghan, M.; Abbaszadeh, M.; Mohebbi, A.
2014
High-order scheme for determination of a control parameter in an inverse problem from the over-specified data. Zbl 1219.65102
Mohebbi, Akbar; Dehghan, Mehdi
2010
Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind. Zbl 1102.65125
Dehghan, Mehdi; Mohebbi, Akbar
2006
Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. Zbl 1287.65089
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation. Zbl 1143.65079
Dehghan, Mehdi; Mohebbi, Akbar
2008
Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. Zbl 1403.65068
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Direct numerical method for an inverse problem of a parabolic partial differential equation. Zbl 1173.65059
Liao, Wenyuan; Dehghan, Mehdi; Mohebbi, Akbar
2009
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
Solitary wave solutions of the nonlinear generalized Pochhammer-Chree and regularized long wave equations. Zbl 1268.74027
Mohebbi, Akbar
2012
Efficient numerical algorithms for the solution of “good” Boussinesq equation in water wave propagation. Zbl 1457.65147
Mohebbi, Akbar; Asgari, Zohreh
2011
Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations. Zbl 1266.65176
Mohebbi, Akbar; Asgari, Zohreh; Dehghan, Mehdi
2012
Solution of the two dimensional second biharmonic equation with high-order accuracy. Zbl 1179.35110
Dehghan, Mehdi; Mohebbi, Akbar
2008
Solitary wave solution of nonlinear Benjamin-Bona-Mahony-Burgers equation using a high-order difference scheme. Zbl 1406.65062
Mohebbi, Akbar; Faraz, Zahra
2017
A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. Zbl 1326.65125
Mohebbi, Akbar; Abbasi, Masoume
2015
A numerical algorithm for determination of a control parameter in two-dimensional parabolic inverse problems. Zbl 1316.65081
Mohebbi, Akbar
2015
Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel. Zbl 1387.65089
Mohebbi, Akbar
2017
Finite difference and spectral collocation methods for the solution of semilinear time fractional convection-reaction-diffusion equations with time delay. Zbl 1447.65102
Mohebbi, Akbar
2019
Analysis of a numerical method for the solution of time fractional Burgers equation. Zbl 1412.65165
Mohebbi, Akbar
2018
Numerical solution of nonlinear Kaup-Kupershmit equation, KdV-KdV and Hirota-Satsuma systems. Zbl 1401.65117
Mohebbi, Akbar
2012
Finite difference and spectral collocation methods for the solution of semilinear time fractional convection-reaction-diffusion equations with time delay. Zbl 1447.65102
Mohebbi, Akbar
2019
Analysis of a numerical method for the solution of time fractional Burgers equation. Zbl 1412.65165
Mohebbi, Akbar
2018
Solitary wave solution of nonlinear Benjamin-Bona-Mahony-Burgers equation using a high-order difference scheme. Zbl 1406.65062
Mohebbi, Akbar; Faraz, Zahra
2017
Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel. Zbl 1387.65089
Mohebbi, Akbar
2017
Analysis of a meshless method for the time fractional diffusion-wave equation. Zbl 1352.65298
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. Zbl 1403.65068
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. Zbl 1403.65067
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. Zbl 07159582
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2016
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. Zbl 1403.65082
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate. Zbl 1315.65086
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. Zbl 1305.65211
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. Zbl 1403.65084
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. Zbl 1403.65083
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2015
A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. Zbl 1326.65125
Mohebbi, Akbar; Abbasi, Masoume
2015
A numerical algorithm for determination of a control parameter in two-dimensional parabolic inverse problems. Zbl 1316.65081
Mohebbi, Akbar
2015
The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. Zbl 1369.65126
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar
2014
Numerical solution of system of $$N$$-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. Zbl 1357.65187
Dehghan, M.; Abbaszadeh, M.; Mohebbi, A.
2014
Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. Zbl 1287.65089
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. Zbl 1300.65060
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. Zbl 1357.65197
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2014
The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics. Zbl 1352.65397
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1287.65064
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. Zbl 1350.65083
2013
Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. Zbl 1286.76014
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi
2013
Compact finite difference scheme for the solution of time fractional advection-dispersion equation. Zbl 1380.65170
2013
Solitary wave solutions of the nonlinear generalized Pochhammer-Chree and regularized long wave equations. Zbl 1268.74027
Mohebbi, Akbar
2012
Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations. Zbl 1266.65176
Mohebbi, Akbar; Asgari, Zohreh; Dehghan, Mehdi
2012
Numerical solution of nonlinear Kaup-Kupershmit equation, KdV-KdV and Hirota-Satsuma systems. Zbl 1401.65117
Mohebbi, Akbar
2012
Efficient numerical algorithms for the solution of “good” Boussinesq equation in water wave propagation. Zbl 1457.65147
Mohebbi, Akbar; Asgari, Zohreh
2011
High-order compact solution of the one-dimensional heat and advection-diffusion equations. Zbl 1201.65183
Mohebbi, Akbar; Dehghan, Mehdi
2010
High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. Zbl 1190.65126
Mohebbi, Akbar; Dehghan, Mehdi
2010
High-order scheme for determination of a control parameter in an inverse problem from the over-specified data. Zbl 1219.65102
Mohebbi, Akbar; Dehghan, Mehdi
2010
High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation. Zbl 1156.65087
Dehghan, Mehdi; Mohebbi, Akbar
2009
The use of compact boundary value method for the solution of two-dimensional Schrödinger equation. Zbl 1159.65081
Mohebbi, Akbar; Dehghan, Mehdi
2009
Fourth-order compact solution of the nonlinear Klein-Gordon equation. Zbl 1180.65114
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh
2009
Direct numerical method for an inverse problem of a parabolic partial differential equation. Zbl 1173.65059
Liao, Wenyuan; Dehghan, Mehdi; Mohebbi, Akbar
2009
High order compact solution of the one-space-dimensional linear hyperbolic equation. Zbl 1151.65071
Mohebbi, Akbar; Dehghan, Mehdi
2008
High-order compact boundary value method for the solution of unsteady convection-diffusion problems. Zbl 1155.65075
Dehghan, Mehdi; Mohebbi, Akbar
2008
The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation. Zbl 1143.65079
Dehghan, Mehdi; Mohebbi, Akbar
2008
Solution of the two dimensional second biharmonic equation with high-order accuracy. Zbl 1179.35110
Dehghan, Mehdi; Mohebbi, Akbar
2008
Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind. Zbl 1102.65125
Dehghan, Mehdi; Mohebbi, Akbar
2006
all top 5

#### Cited by 935 Authors

 73 Applied Mathematics and Computation 61 Engineering Analysis with Boundary Elements 53 Computers & Mathematics with Applications 28 Numerical Algorithms 27 Journal of Computational and Applied Mathematics 26 Applied Numerical Mathematics 26 Applied Mathematical Modelling 25 Journal of Computational Physics 22 Computational and Applied Mathematics 20 Numerical Methods for Partial Differential Equations 18 Computer Physics Communications 17 International Journal of Computer Mathematics 16 Advances in Difference Equations 14 Mathematical Methods in the Applied Sciences 11 International Journal of Computational Methods 10 Journal of Scientific Computing 10 Nonlinear Dynamics 9 Abstract and Applied Analysis 8 Communications in Nonlinear Science and Numerical Simulation 8 Inverse Problems in Science and Engineering 7 Computer Methods in Applied Mechanics and Engineering 7 Mathematical Problems in Engineering 6 Applicable Analysis 5 International Journal of Numerical Methods for Heat & Fluid Flow 4 Chaos, Solitons and Fractals 4 Applied Mathematics Letters 4 Fractional Calculus & Applied Analysis 4 Journal of Applied Mathematics 4 Advances in Mathematical Physics 4 Computational Methods for Differential Equations 3 Calcolo 3 Mathematics and Computers in Simulation 3 Mathematical and Computer Modelling 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics and Computing 3 Journal of Applied Analysis and Computation 3 East Asian Journal on Applied Mathematics 3 International Journal of Applied and Computational Mathematics 2 Journal of Mathematical Analysis and Applications 2 Wave Motion 2 Numerical Functional Analysis and Optimization 2 Acta Mathematicae Applicatae Sinica. English Series 2 Advances in Computational Mathematics 2 Journal of Difference Equations and Applications 2 Journal of Vibration and Control 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Acta Mechanica Sinica 2 Applications and Applied Mathematics 2 European Journal of Pure and Applied Mathematics 2 ISRN Computational Mathematics 2 Mathematics 2 Cogent Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Ukrainian Mathematical Journal 1 BIT 1 Journal of Optimization Theory and Applications 1 Kybernetes 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Computational Mechanics 1 Computational Mathematics and Modeling 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Cybernetics and Systems Analysis 1 SIAM Journal on Scientific Computing 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Annales Mathematicae Silesianae 1 Differential Equations 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Function Spaces and Applications 1 Foundations of Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 International Journal of Numerical Methods and Applications 1 TWMS Journal of Pure and Applied Mathematics 1 Arabian Journal for Science and Engineering 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Applied Mathematics 1 Arabian Journal of Mathematics 1 Communications in Mathematics and Statistics 1 Mathematical Sciences 1 Journal of Mathematics ...and 7 more Serials