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
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
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
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
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; 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
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 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
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 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; 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 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 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 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 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; 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; 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 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 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