Abbaszadeh, Mostafa; Bagheri, Salec Alireza; Abd, Al-Khafaji Shurooq Kamel The effect of fractional-order derivative for pattern formation of Brusselator reaction-diffusion model occurring in chemical reactions. (English) Zbl 07792727 Iran. J. Math. Chem. 14, No. 4, 243-269 (2023). MSC: 92E20 35K57 35R11 35B36 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Iran. J. Math. Chem. 14, No. 4, 243--269 (2023; Zbl 07792727) Full Text: DOI
Abbaszadeh, Mostafa; Zaky, Mahmoud A.; Hendy, Ahmed S.; Dehghan, Mehdi A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers’ equation. (English) Zbl 07705774 Appl. Numer. Math. 187, 262-276 (2023). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Appl. Numer. Math. 187, 262--276 (2023; Zbl 07705774) Full Text: DOI
Abbaszadeh, Mostafa; Azis, Mohammad Ivan; Dehghan, Mehdi; Mohammadi-Arani, Reza Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. (English) Zbl 07692044 Comput. Math. Appl. 140, 195-210 (2023). MSC: 76M25 76D05 76M12 65M06 76M20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 140, 195--210 (2023; Zbl 07692044) Full Text: DOI
Abbaszadeh, Mostafa; Kalhor, Yasmin; Dehghan, Mehdi; Donatelli, Marco A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models. (English) Zbl 1521.91384 Eng. Anal. Bound. Elem. 150, 154-166 (2023). MSC: 91G60 65M75 65D07 91G20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 150, 154--166 (2023; Zbl 1521.91384) Full Text: DOI
Abbaszadeh, Mostafa; Ebrahimijahan, Ali; Dehghan, Mehdi Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources. (English) Zbl 1521.65068 Eng. Anal. Bound. Elem. 146, 733-748 (2023). MSC: 65L60 65D12 34B15 80A19 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 146, 733--748 (2023; Zbl 1521.65068) Full Text: DOI
Dehghan, Mehdi; Hooshyarfarzin, Baharak; Abbaszadeh, Mostafa Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 07789075 Eng. Anal. Bound. Elem. 145, 93-116 (2022). MSC: 35C08 35L05 35G20 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 145, 93--116 (2022; Zbl 07789075) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Application of direct meshless local Petrov-Galerkin method for numerical solution of stochastic elliptic interface problems. (English) Zbl 07778296 Numer. Methods Partial Differ. Equations 38, No. 5, 1271-1292 (2022). MSC: 65N30 65K10 35R37 35R60 60H35 35J15 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Numer. Methods Partial Differ. Equations 38, No. 5, 1271--1292 (2022; Zbl 07778296) Full Text: DOI
Dehghan, Mehdi; Ebrahimijahan, Ali; Abbaszadeh, Mostafa Integrated radial basis functions to simulate modified anomalous sub-diffusion equation. (English) Zbl 07778283 Numer. Methods Partial Differ. Equations 38, No. 4, 1015-1054 (2022). MSC: 65M06 65N35 65D12 65M12 60K50 26A33 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Methods Partial Differ. Equations 38, No. 4, 1015--1054 (2022; Zbl 07778283) Full Text: DOI
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016 Eng. Anal. Bound. Elem. 143, 397-417 (2022). MSC: 78M10 65M70 35D35 65D12 78A25 86A10 PDFBibTeX XMLCite \textit{A. Ebrahimijahan} et al., Eng. Anal. Bound. Elem. 143, 397--417 (2022; Zbl 1521.78016) Full Text: DOI
MohammadiArani, Reza; Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition-lattice Boltzmann method: simulating the air pollutant problem in street canyon areas. (English) Zbl 1492.76097 SIAM J. Sci. Comput. 44, No. 4, B885-B909 (2022). MSC: 76N15 65M22 76M28 PDFBibTeX XMLCite \textit{R. MohammadiArani} et al., SIAM J. Sci. Comput. 44, No. 4, B885--B909 (2022; Zbl 1492.76097) Full Text: DOI
Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. (English) Zbl 1510.76097 Appl. Math. Comput. 433, Article ID 127293, 19 p. (2022). MSC: 76M12 76W05 76M10 65N30 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Appl. Math. Comput. 433, Article ID 127293, 19 p. (2022; Zbl 1510.76097) Full Text: DOI
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. (English) Zbl 1492.65308 J. Comput. Appl. Math. 416, Article ID 114567, 19 p. (2022). MSC: 65N30 65N15 82B24 PDFBibTeX XMLCite \textit{Z. Gharibi} et al., J. Comput. Appl. Math. 416, Article ID 114567, 19 p. (2022; Zbl 1492.65308) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Wick, Thomas Legendre spectral element method (LSEM) to simulate the two-dimensional system of nonlinear stochastic advection-reaction-diffusion models. (English) Zbl 1487.65160 Appl. Anal. 101, No. 6, 2279-2294 (2022). MSC: 65M70 65M06 65N35 65M12 65M15 86A05 35R60 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Appl. Anal. 101, No. 6, 2279--2294 (2022; Zbl 1487.65160) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi A class of moving kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. (English) Zbl 07512665 Numer. Algorithms 90, No. 1, 271-299 (2022). MSC: 65M99 35R11 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 90, No. 1, 271--299 (2022; Zbl 07512665) Full Text: DOI
Azis, Moh. Ivan; Abbaszadeh, Mostafa; Dehghan, Mehdi An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. (English) Zbl 1499.65707 Int. J. Comput. Math. 99, No. 3, 575-590 (2022). MSC: 65N38 35K51 44A10 35N10 PDFBibTeX XMLCite \textit{Moh. I. Azis} et al., Int. J. Comput. Math. 99, No. 3, 575--590 (2022; Zbl 1499.65707) Full Text: DOI
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach. (English) Zbl 1521.74408 Eng. Anal. Bound. Elem. 134, 553-570 (2022). MSC: 74S99 65N35 65D12 74E10 PDFBibTeX XMLCite \textit{A. Ebrahimijahan} et al., Eng. Anal. Bound. Elem. 134, 553--570 (2022; Zbl 1521.74408) Full Text: DOI
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa Numerical and theoretical discussions for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation based on the Legendre spectral element method. (English) Zbl 07777701 Numer. Methods Partial Differ. Equations 37, No. 1, 360-382 (2021). MSC: 65M06 65N35 65D32 65M15 78A60 76Q05 76N30 76X05 35Q60 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 360--382 (2021; Zbl 07777701) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Heitzinger, Clemens; Wick, Thomas A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. (English) Zbl 07510038 J. Comput. Phys. 426, Article ID 109875, 27 p. (2021). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Comput. Phys. 426, Article ID 109875, 27 p. (2021; Zbl 07510038) Full Text: DOI
Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation. (English) Zbl 1524.76275 Wave Motion 107, Article ID 102805, 19 p. (2021). MSC: 76M22 65M70 65D12 65M12 65M15 76B15 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Wave Motion 107, Article ID 102805, 19 p. (2021; Zbl 1524.76275) Full Text: DOI
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems. (English) Zbl 07479288 Inverse Probl. Sci. Eng. 29, No. 10, 1369-1400 (2021). MSC: 35R30 65L12 80M20 65M70 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Inverse Probl. Sci. Eng. 29, No. 10, 1369--1400 (2021; Zbl 07479288) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. (English) Zbl 1480.65200 Int. J. Comput. Math. 98, No. 11, 2137-2155 (2021). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Int. J. Comput. Math. 98, No. 11, 2137--2155 (2021; Zbl 1480.65200) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zaky, Mahmoud A.; Hendy, Ahmed S. Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation. (English) Zbl 07452496 J. Funct. Spaces 2021, Article ID 6665420, 11 p. (2021). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Funct. Spaces 2021, Article ID 6665420, 11 p. (2021; Zbl 07452496) Full Text: DOI
Hendy, Ahmed S.; Zaky, Mahmoud A.; Abbaszadeh, Mostafa Long time behavior of Robin boundary sub-diffusion equation with fractional partial derivatives of Caputo type in differential and difference settings. (English) Zbl 07431574 Math. Comput. Simul. 190, 1370-1378 (2021). MSC: 35-XX 60-XX PDFBibTeX XMLCite \textit{A. S. Hendy} et al., Math. Comput. Simul. 190, 1370--1378 (2021; Zbl 07431574) Full Text: DOI
Loghman, Ehsan; Kamali, Ali; Bakhtiari-Nejad, Firooz; Abbaszadeh, Mostafa Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam. (English) Zbl 1481.74283 Appl. Math. Modelling 92, 297-314 (2021). MSC: 74H45 35Q74 74D10 74K10 PDFBibTeX XMLCite \textit{E. Loghman} et al., Appl. Math. Modelling 92, 297--314 (2021; Zbl 1481.74283) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow. (English) Zbl 1521.76308 Eng. Anal. Bound. Elem. 132, 469-480 (2021). MSC: 76M10 65M60 35Q35 76R50 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 132, 469--480 (2021; Zbl 1521.76308) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation. (English) Zbl 1486.65157 Appl. Numer. Math. 169, 44-63 (2021). MSC: 65M60 65M06 65N30 65M75 65M12 26A33 35R11 35R07 35R10 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 169, 44--63 (2021; Zbl 1486.65157) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi The Crank-Nicolson/interpolating stabilized element-free Galerkin method to investigate the fractional Galilei invariant advection-diffusion equation. (English) Zbl 1486.65156 Math. Methods Appl. Sci. 44, No. 4, 2752-2768 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 44, No. 4, 2752--2768 (2021; Zbl 1486.65156) Full Text: DOI
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system. (English) Zbl 1524.65536 Comput. Math. Appl. 92, 88-108 (2021). MSC: 65M60 65N30 65N15 65N12 65M12 78A35 82D37 76X05 65M06 35Q60 35Q35 PDFBibTeX XMLCite \textit{Z. Gharibi} et al., Comput. Math. Appl. 92, 88--108 (2021; Zbl 1524.65536) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Numerical investigation of reproducing kernel particle Galerkin method for solving fractional modified distributed-order anomalous sub-diffusion equation with error estimation. (English) Zbl 1474.65340 Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021). MSC: 65M60 34A34 26A33 35R11 65M12 65M75 65M15 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Math. Comput. 392, Article ID 125718, 21 p. (2021; Zbl 1474.65340) Full Text: DOI
Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi; Azis, Mohammad Ivan Investigation of generalized Couette hydromagnetic flow of two-step exothermic chemical reaction in a channel via the direct meshless local Petrov-Galerkin method. (English) Zbl 1464.76051 Eng. Anal. Bound. Elem. 125, 178-189 (2021). MSC: 76M10 65M60 76V05 76W05 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 125, 178--189 (2021; Zbl 1464.76051) Full Text: DOI
Abbaszadeh, Mostafa; Amjadian, Hanieh Second-order finite difference/spectral element formulation for solving the fractional advection-diffusion equation. (English) Zbl 1476.65152 Commun. Appl. Math. Comput. 2, No. 4, 653-669 (2020). MSC: 65L60 65L20 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{H. Amjadian}, Commun. Appl. Math. Comput. 2, No. 4, 653--669 (2020; Zbl 1476.65152) Full Text: DOI
Khodadadian, Amirreza; Noii, Nima; Parvizi, Maryam; Abbaszadeh, Mostafa; Wick, Thomas; Heitzinger, Clemens A Bayesian estimation method for variational phase-field fracture problems. (English) Zbl 1462.74139 Comput. Mech. 66, No. 4, 827-849 (2020). MSC: 74R10 74S60 PDFBibTeX XMLCite \textit{A. Khodadadian} et al., Comput. Mech. 66, No. 4, 827--849 (2020; Zbl 1462.74139) Full Text: DOI arXiv
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination. (English) Zbl 1464.65139 Eng. Anal. Bound. Elem. 121, 50-64 (2020). MSC: 65M70 65D12 PDFBibTeX XMLCite \textit{A. Ebrahimijahan} et al., Eng. Anal. Bound. Elem. 121, 50--64 (2020; Zbl 1464.65139) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. (English) Zbl 1464.65081 Eng. Anal. Bound. Elem. 119, 151-161 (2020). MSC: 65M06 65D12 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 119, 151--161 (2020; Zbl 1464.65081) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains. (English) Zbl 1443.65188 Comput. Math. Appl. 79, No. 3, 876-888 (2020). MSC: 65M60 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Math. Appl. 79, No. 3, 876--888 (2020; Zbl 1443.65188) Full Text: DOI
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa Application of spectral element method for solving Sobolev equations with error estimation. (English) Zbl 1452.65271 Appl. Numer. Math. 158, 439-462 (2020). MSC: 65M70 65M06 65M15 65M12 42C10 76M22 76M20 76S05 76N99 74F10 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Numer. Math. 158, 439--462 (2020; Zbl 1452.65271) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation. (English) Zbl 1446.65103 Comput. Math. Appl. 80, No. 1, 247-262 (2020). MSC: 65M60 65N30 65M06 65M12 65M15 65K10 35Q92 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 80, No. 1, 247--262 (2020; Zbl 1446.65103) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Direct meshless local Petrov-Galerkin method to investigate anisotropic potential and plane elastostatic equations of anisotropic functionally graded materials problems. (English) Zbl 1464.74162 Eng. Anal. Bound. Elem. 118, 188-201 (2020). MSC: 74S05 65N30 74E10 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 118, 188--201 (2020; Zbl 1464.74162) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. (English) Zbl 1442.65287 Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020). MSC: 65M70 65D12 76D05 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020; Zbl 1442.65287) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation. (English) Zbl 1437.65174 Appl. Numer. Math. 154, 172-186 (2020). MSC: 65N30 65N15 65M06 65M12 35Q55 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 154, 172--186 (2020; Zbl 1437.65174) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. (English) Zbl 1435.65170 J. Comput. Appl. Math. 374, Article ID 112739, 16 p. (2020). MSC: 65M70 65M60 65M06 65M12 65M15 35R09 45K05 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Comput. Appl. Math. 374, Article ID 112739, 16 p. (2020; Zbl 1435.65170) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. (English) Zbl 1444.76083 Appl. Numer. Math. 150, 274-294 (2020). Reviewer: Petr Sváček (Praha) MSC: 76M99 76M20 76A10 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 150, 274--294 (2020; Zbl 1444.76083) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in fluid flow. (English) Zbl 1433.65233 J. Comput. Appl. Math. 368, Article ID 112453, 17 p. (2020). MSC: 65M70 65M06 65D32 86A05 86-10 76M99 76T30 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Comput. Appl. Math. 368, Article ID 112453, 17 p. (2020; Zbl 1433.65233) Full Text: DOI
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate chemistry. (English) Zbl 1464.93085 Iran. J. Math. Chem. 10, No. 3, 251-267 (2019). MSC: 93E20 80A32 35Q92 65M06 65D12 PDFBibTeX XMLCite \textit{G. Karamali} et al., Iran. J. Math. Chem. 10, No. 3, 251--267 (2019; Zbl 1464.93085) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving Kriging interpolation shape functions with the weighted essentially non-oscillatory method. (English) Zbl 1524.65452 Commun. Nonlinear Sci. Numer. Simul. 68, 220-239 (2019). MSC: 65M08 35Q53 35B05 65D05 65M12 76B15 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Commun. Nonlinear Sci. Numer. Simul. 68, 220--239 (2019; Zbl 1524.65452) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi; Zhou, Yong Alternating direction implicit-spectral element method (ADI-SEM) for solving multi-dimensional generalized modified anomalous sub-diffusion equation. (English) Zbl 1442.65288 Comput. Math. Appl. 78, No. 5, 1772-1792 (2019). MSC: 65M70 65M12 65M60 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 78, No. 5, 1772--1792 (2019; Zbl 1442.65288) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Analysis of mixed finite element method (MFEM) for solving the generalized fractional reaction-diffusion equation on nonrectangular domains. (English) Zbl 1442.65244 Comput. Math. Appl. 78, No. 5, 1531-1547 (2019). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Math. Appl. 78, No. 5, 1531--1547 (2019; Zbl 1442.65244) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis. (English) Zbl 1437.65121 Nonlinear Dyn. 96, No. 2, 1345-1365 (2019). MSC: 65M22 65M12 65M60 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Nonlinear Dyn. 96, No. 2, 1345--1365 (2019; Zbl 1437.65121) Full Text: DOI
Khodadadian, Amirreza; Parvizi, Maryam; Abbaszadeh, Mostafa; Dehghan, Mehdi; Heitzinger, Clemens A multilevel Monte Carlo finite element method for the stochastic Cahn-Hilliard-Cook equation. (English) Zbl 1465.76076 Comput. Mech. 64, No. 4, 937-949 (2019). MSC: 76M35 76M10 76T99 PDFBibTeX XMLCite \textit{A. Khodadadian} et al., Comput. Mech. 64, No. 4, 937--949 (2019; Zbl 1465.76076) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations. (English) Zbl 1464.76052 Eng. Anal. Bound. Elem. 106, 300-308 (2019). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 106, 300--308 (2019; Zbl 1464.76052) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi Numerical and analytical investigations for neutral delay fractional damped diffusion-wave equation based on the stabilized interpolating element free Galerkin (IEFG) method. (English) Zbl 1428.65073 Appl. Numer. Math. 145, 488-506 (2019). MSC: 65N30 65M06 65M12 35R11 35A01 35A02 65N12 35Q60 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 145, 488--506 (2019; Zbl 1428.65073) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives. (English) Zbl 1419.65015 J. Comput. Appl. Math. 356, 314-328 (2019). MSC: 65M06 65M60 65M15 35R11 35R09 65M12 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Appl. Math. 356, 314--328 (2019; Zbl 1419.65015) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method. (English) Zbl 1412.65070 Appl. Numer. Math. 137, 252-273 (2019). MSC: 65M06 65N30 76W05 35Q35 65M15 65M12 65D32 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 137, 252--273 (2019; Zbl 1412.65070) Full Text: DOI
Abbaszadeh, Mostafa Error estimate of second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. (English) Zbl 1410.65351 Appl. Math. Lett. 88, 179-185 (2019). MSC: 65M15 65M06 65M12 35R11 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh}, Appl. Math. Lett. 88, 179--185 (2019; Zbl 1410.65351) Full Text: DOI
Abbaszadeh, Mostafa; Khodadadian, Amirreza; Parvizi, Maryam; Dehghan, Mehdi; Heitzinger, Clemens A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. (English) Zbl 1404.65207 Eng. Anal. Bound. Elem. 98, 253-264 (2019). MSC: 65M75 35R60 60H15 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 98, 253--264 (2019; Zbl 1404.65207) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems. (English) Zbl 1439.82015 Comput. Methods Appl. Mech. Eng. 328, 775-803 (2018). MSC: 82B24 82M10 65N30 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Methods Appl. Mech. Eng. 328, 775--803 (2018; Zbl 1439.82015) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation. (English) Zbl 1415.65224 Comput. Math. Appl. 75, No. 8, 2903-2914 (2018). MSC: 65M60 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 8, 2903--2914 (2018; Zbl 1415.65224) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. (English) Zbl 1424.65201 Comput. Methods Differ. Equ. 6, No. 2, 215-237 (2018). MSC: 65M75 35Q55 PDFBibTeX XMLCite \textit{G. Karamali} et al., Comput. Methods Differ. Equ. 6, No. 2, 215--237 (2018; Zbl 1424.65201) Full Text: Link
Dehghan, Mehdi; Abbaszadeh, Mostafa Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions. (English) Zbl 1404.65084 Comput. Appl. Math. 37, No. 3, 3869-3905 (2018). MSC: 65M06 65M60 35Q35 35Q53 76B15 65D05 76R50 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Appl. Math. 37, No. 3, 3869--3905 (2018; Zbl 1404.65084) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation. (English) Zbl 1403.65109 Eng. Anal. Bound. Elem. 92, 244-256 (2018). MSC: 65M99 35Q31 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 92, 244--256 (2018; Zbl 1403.65109) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains. (English) Zbl 1403.78037 Eng. Anal. Bound. Elem. 92, 156-170 (2018). MSC: 78M30 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 92, 156--170 (2018; Zbl 1403.78037) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed-order fractional damped diffusion-wave equation. (English) Zbl 1395.65098 Math. Methods Appl. Sci. 41, No. 9, 3476-3494 (2018). MSC: 65M70 65M06 65M12 65M60 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Math. Methods Appl. Sci. 41, No. 9, 3476--3494 (2018; Zbl 1395.65098) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis. (English) Zbl 1395.65133 Appl. Anal. 97, No. 7, 1129-1153 (2018). MSC: 65N30 65M12 65N12 65N40 65N55 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Anal. 97, No. 7, 1129--1153 (2018; Zbl 1395.65133) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. (English) Zbl 1395.65074 Appl. Numer. Math. 131, 190-206 (2018). MSC: 65M60 35R11 65M15 65M12 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 131, 190--206 (2018; Zbl 1395.65074) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A reduced proper orthogonal decomposition (POD) element free Galerkin (POD-EFG) method to simulate two-dimensional solute transport problems and error estimate. (English) Zbl 1380.65255 Appl. Numer. Math. 126, 92-112 (2018). MSC: 65M60 65M12 65M15 35L04 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 126, 92--112 (2018; Zbl 1380.65255) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition. (English) Zbl 1412.65138 Comput. Math. Appl. 73, No. 6, 1270-1285 (2017). MSC: 65M60 65M12 65M15 35R11 65M06 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 73, No. 6, 1270--1285 (2017; Zbl 1412.65138) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. (English) Zbl 1403.74285 Eng. Anal. Bound. Elem. 78, 49-64 (2017). MSC: 74S25 65M70 74N05 82C26 82D25 82C80 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 78, 49--64 (2017; Zbl 1403.74285) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations. (English) Zbl 1380.65301 J. Comput. Phys. 351, 478-510 (2017). MSC: 65M70 65D05 76M25 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Phys. 351, 478--510 (2017; Zbl 1380.65301) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Deng, Weihua Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation. (English) Zbl 1375.65173 Appl. Math. Lett. 73, 120-127 (2017). MSC: 65R20 26A33 45K05 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Math. Lett. 73, 120--127 (2017; Zbl 1375.65173) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis. (English) Zbl 1368.65261 Appl. Numer. Math. 119, 51-66 (2017). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 119, 51--66 (2017; Zbl 1368.65261) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs. (English) Zbl 1369.65121 Appl. Anal. 96, No. 6, 936-969 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M60 65M12 65M06 35R11 35Q40 35L20 65M15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Anal. 96, No. 6, 936--969 (2017; Zbl 1369.65121) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate. (English) Zbl 1412.65131 Numer. Algorithms 75, No. 1, 173-211 (2017). MSC: 65M60 65M12 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 75, No. 1, 173--211 (2017; Zbl 1412.65131) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition variational multiscale element free Galerkin (POD-VMEFG) meshless method for solving incompressible Navier-Stokes equation. (English) Zbl 1439.76060 Comput. Methods Appl. Mech. Eng. 311, 856-888 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Methods Appl. Mech. Eng. 311, 856--888 (2016; Zbl 1439.76060) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation. (English) Zbl 1459.65194 Appl. Math. Modelling 40, No. 5-6, 3635-3654 (2016). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Math. Modelling 40, No. 5--6, 3635--3654 (2016; Zbl 1459.65194) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion. (English) Zbl 1425.65108 Comput. Methods Appl. Mech. Eng. 300, 770-797 (2016). MSC: 65M60 35K51 35K57 35K58 65M75 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Methods Appl. Mech. Eng. 300, 770--797 (2016; Zbl 1425.65108) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods. (English) Zbl 1403.65068 Eng. Anal. Bound. Elem. 64, 205-221 (2016). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 64, 205--221 (2016; Zbl 1403.65068) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models. (English) Zbl 1403.65067 Eng. Anal. Bound. Elem. 62, 93-111 (2016). MSC: 65M60 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 62, 93--111 (2016; Zbl 1403.65067) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach. (English) Zbl 1359.65199 Comput. Math. Appl. 72, No. 3, 427-454 (2016). MSC: 65M60 65M20 65M70 92C15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 72, No. 3, 427--454 (2016; Zbl 1359.65199) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Analysis of a meshless method for the time fractional diffusion-wave equation. (English) Zbl 1352.65298 Numer. Algorithms 73, No. 2, 445-476 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M20 65M06 65M70 35R11 35K05 35L05 35M10 65M12 65M15 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Numer. Algorithms 73, No. 2, 445--476 (2016; Zbl 1352.65298) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. (English) Zbl 1348.65141 Appl. Numer. Math. 109, 208-234 (2016). MSC: 65M60 35L20 65M12 65M15 65M06 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 109, 208--234 (2016; Zbl 1348.65141) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method. (English) Zbl 1443.65189 Comput. Math. Appl. 70, No. 10, 2493-2512 (2015). MSC: 65M60 35R11 65M22 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Math. Appl. 70, No. 10, 2493--2512 (2015; Zbl 1443.65189) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar A meshless technique based on the local radial basis functions collocation method for solving parabolic-parabolic Patlak-Keller-Segel chemotaxis model. (English) Zbl 1403.65084 Eng. Anal. Bound. Elem. 56, 129-144 (2015). MSC: 65M70 65M06 92C17 35Q92 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 56, 129--144 (2015; Zbl 1403.65084) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods. (English) Zbl 1403.65083 Eng. Anal. Bound. Elem. 51, 220-235 (2015). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 51, 220--235 (2015; Zbl 1403.65083) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations. (English) Zbl 1403.65082 Eng. Anal. Bound. Elem. 50, 412-434 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 50, 412--434 (2015; Zbl 1403.65082) Full Text: DOI
Dehghan, Mehdi; Safarpoor, Mansour; Abbaszadeh, Mostafa Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations. (English) Zbl 1321.65129 J. Comput. Appl. Math. 290, 174-195 (2015). MSC: 65M06 65M70 35R11 65M12 65M15 35M13 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 290, 174--195 (2015; Zbl 1321.65129) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar 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. (English) Zbl 1315.65086 J. Comput. Appl. Math. 286, 211-231 (2015). MSC: 65M60 35L75 35Q53 65M12 65M15 65M06 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 286, 211--231 (2015; Zbl 1315.65086) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method. (English) Zbl 1305.65211 J. Comput. Appl. Math. 280, 14-36 (2015). MSC: 65M70 34A34 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Comput. Appl. Math. 280, 14--36 (2015; Zbl 1305.65211) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa; Mohebbi, Akbar The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions. (English) Zbl 1369.65126 Comput. Math. Appl. 68, No. 3, 212-237 (2014). MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Comput. Math. Appl. 68, No. 3, 212--237 (2014; Zbl 1369.65126) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation. (English) Zbl 1357.65197 Int. J. Numer. Methods Heat Fluid Flow 24, No. 8, 1636-1659 (2014). MSC: 65M70 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Int. J. Numer. Methods Heat Fluid Flow 24, No. 8, 1636--1659 (2014; Zbl 1357.65197) Full Text: DOI
Dehghan, M.; Abbaszadeh, M.; Mohebbi, A. Numerical solution of system of \(N\)-coupled nonlinear Schrödinger equations via two variants of the meshless local Petrov-Galerkin (MLPG) method. (English) Zbl 1357.65187 CMES, Comput. Model. Eng. Sci. 100, No. 5, 399-444 (2014). MSC: 65M70 65M06 35Q55 PDFBibTeX XMLCite \textit{M. Dehghan} et al., CMES, Comput. Model. Eng. Sci. 100, No. 5, 399--444 (2014; Zbl 1357.65187) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi High-order difference scheme for the solution of linear time fractional Klein-Gordon equations. (English) Zbl 1300.65060 Numer. Methods Partial Differ. Equations 30, No. 4, 1234-1253 (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 35Q40 35R11 65M12 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Numer. Methods Partial Differ. Equations 30, No. 4, 1234--1253 (2014; Zbl 1300.65060) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method. (English) Zbl 1287.65089 Eng. Anal. Bound. Elem. 38, 72-82 (2014). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Eng. Anal. Bound. Elem. 38, 72--82 (2014; Zbl 1287.65089) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi 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. (English) Zbl 1352.65397 Eng. Anal. Bound. Elem. 37, No. 2, 475-485 (2013). MSC: 65M70 35Q55 35R11 45K05 81Q05 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Eng. Anal. Bound. Elem. 37, No. 2, 475--485 (2013; Zbl 1352.65397) Full Text: DOI
Abbaszadeh, Mostafa; Mohebbi, Akbar A fourth-order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term. (English) Zbl 1350.65083 Comput. Math. Appl. 66, No. 8, 1345-1359 (2013). MSC: 65M06 65M12 35K55 35R11 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{A. Mohebbi}, Comput. Math. Appl. 66, No. 8, 1345--1359 (2013; Zbl 1350.65083) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi Compact finite difference scheme and RBF meshless approach for solving 2D Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivatives. (English) Zbl 1286.76014 Comput. Methods Appl. Mech. Eng. 264, 163-177 (2013). MSC: 76A10 76M20 76M22 65M06 65M70 35R11 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Comput. Methods Appl. Mech. Eng. 264, 163--177 (2013; Zbl 1286.76014) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa; Dehghan, Mehdi A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term. (English) Zbl 1287.65064 J. Comput. Phys. 240, 36-48 (2013). MSC: 65M06 65M12 35K20 35R11 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., J. Comput. Phys. 240, 36--48 (2013; Zbl 1287.65064) Full Text: DOI
Mohebbi, Akbar; Abbaszadeh, Mostafa Compact finite difference scheme for the solution of time fractional advection-dispersion equation. (English) Zbl 1380.65170 Numer. Algorithms 63, No. 3, 431-452 (2013). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 35Q35 65M12 PDFBibTeX XMLCite \textit{A. Mohebbi} and \textit{M. Abbaszadeh}, Numer. Algorithms 63, No. 3, 431--452 (2013; Zbl 1380.65170) Full Text: DOI