Mohebalizadeh, Hamed; Adibi, Hojatollah; Dehghan, Mehdi Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation. (English) Zbl 1526.35295 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107469, 23 p. (2023). MSC: 35R11 35Q56 PDFBibTeX XMLCite \textit{H. Mohebalizadeh} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107469, 23 p. (2023; Zbl 1526.35295) Full Text: DOI
Asadi-Mehregan, Fatemeh; Assari, Pouria; Dehghan, Mehdi On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme. (English) Zbl 07727805 Int. J. Comput. Math. 100, No. 8, 1757-1778 (2023). MSC: 45J05 45L05 92-08 92D25 PDFBibTeX XMLCite \textit{F. Asadi-Mehregan} et al., Int. J. Comput. Math. 100, No. 8, 1757--1778 (2023; Zbl 07727805) Full Text: DOI
Mohebalizadeh, Hamed; Adibi, Hojatollah; Dehghan, Mehdi On the fractional Laplacian of some positive definite kernels with applications in numerically solving the surface quasi-geostrophic equation as a prominent fractional calculus model. (English) Zbl 07705781 Appl. Numer. Math. 188, 75-87 (2023). MSC: 65Mxx 35Rxx 41Axx PDFBibTeX XMLCite \textit{H. Mohebalizadeh} et al., Appl. Numer. Math. 188, 75--87 (2023; Zbl 07705781) Full Text: DOI
Najafi, Mahboubeh; Dehghan, Mehdi Simulations of dendritic solidification via the diffuse approximate method. (English) Zbl 1521.80018 Eng. Anal. Bound. Elem. 151, 639-655 (2023). MSC: 80A22 35D35 65N35 80M22 PDFBibTeX XMLCite \textit{M. Najafi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 151, 639--655 (2023; Zbl 1521.80018) 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
Haghi, Majid; Ilati, Mohammad; Dehghan, Mehdi A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation. (English) Zbl 1524.65344 Comput. Appl. Math. 42, No. 3, Paper No. 115, 17 p. (2023). MSC: 65M06 65M12 65B05 35Q56 78A60 65L06 65D12 65D05 82D55 PDFBibTeX XMLCite \textit{M. Haghi} et al., Comput. Appl. Math. 42, No. 3, Paper No. 115, 17 p. (2023; Zbl 1524.65344) Full Text: DOI
Hosseinian, Alireza; Assari, Pouria; Dehghan, Mehdi The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis. (English) Zbl 07671197 Comput. Appl. Math. 42, No. 2, Paper No. 83, 24 p. (2023). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{A. Hosseinian} et al., Comput. Appl. Math. 42, No. 2, Paper No. 83, 24 p. (2023; Zbl 07671197) 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
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
Eslami, Samira; Ilati, Mohammad; Dehghan, Mehdi A local meshless method for solving multi-dimensional Galilei invariant fractional advection-diffusion equation. (English) Zbl 1521.65113 Eng. Anal. Bound. Elem. 143, 283-292 (2022). MSC: 65M99 41A30 PDFBibTeX XMLCite \textit{S. Eslami} et al., Eng. Anal. Bound. Elem. 143, 283--292 (2022; Zbl 1521.65113) 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
Narimani, Niusha; Dehghan, Mehdi A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. (English) Zbl 1497.92060 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022). MSC: 92C32 35Q92 65D12 PDFBibTeX XMLCite \textit{N. Narimani} and \textit{M. Dehghan}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022; Zbl 1497.92060) Full Text: DOI
Dehghan, Mehdi; Gharibi, Zeinab; Eslahchi, Mohammad Reza Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation. (English) Zbl 1492.65263 Appl. Numer. Math. 178, 304-328 (2022). MSC: 65M60 65M06 65N30 76R10 35B36 35Q35 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Numer. Math. 178, 304--328 (2022; Zbl 1492.65263) 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
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
Assari, P.; Asadi-Mehregan, F.; Dehghan, M. A meshless local Galerkin integral equation method for solving a type of Darboux problems based on radial basis functions. (English) Zbl 1480.65328 ANZIAM J. 63, No. 4, 469-492 (2021). MSC: 65N30 65R20 45D05 45G10 65D12 65N15 PDFBibTeX XMLCite \textit{P. Assari} et al., ANZIAM J. 63, No. 4, 469--492 (2021; Zbl 1480.65328) 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
Dehghan, Mehdi; Gharibi, Zeinab Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation. (English) Zbl 1501.65068 J. Sci. Comput. 89, No. 1, Paper No. 16, 31 p. (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35B36 35K51 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{Z. Gharibi}, J. Sci. Comput. 89, No. 1, Paper No. 16, 31 p. (2021; Zbl 1501.65068) 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
Shirzadi, Mohammad; Dehghan, Mehdi; Bastani, Ali Foroush A trustable shape parameter in the kernel-based collocation method with application to pricing financial options. (English) Zbl 1464.91076 Eng. Anal. Bound. Elem. 126, 108-117 (2021). MSC: 91G60 65M70 45K05 60G51 60H30 PDFBibTeX XMLCite \textit{M. Shirzadi} et al., Eng. Anal. Bound. Elem. 126, 108--117 (2021; Zbl 1464.91076) 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
Mohammadi, Vahid; Dehghan, Mehdi A divergence-free generalized moving least squares approximation with its application. (English) Zbl 1458.76080 Appl. Numer. Math. 162, 374-404 (2021). MSC: 76M99 76T06 76S05 65M15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 162, 374--404 (2021; Zbl 1458.76080) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. (English) Zbl 1457.92042 J. Comput. Appl. Math. 388, Article ID 113314, 24 p. (2021). MSC: 92C32 35Q92 PDFBibTeX XMLCite \textit{V. Mohammadi} et al., J. Comput. Appl. Math. 388, Article ID 113314, 24 p. (2021; Zbl 1457.92042) Full Text: DOI
Shirzadi, Mohammad; Dehghan, Mehdi Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs. (English) Zbl 1452.65375 Appl. Math. Lett. 111, Article ID 106598, 8 p. (2021). MSC: 65N35 65M06 65K10 60H40 35J99 PDFBibTeX XMLCite \textit{M. Shirzadi} and \textit{M. Dehghan}, Appl. Math. Lett. 111, Article ID 106598, 8 p. (2021; Zbl 1452.65375) 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 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
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
Hosseinzadeh, Hossein; Dehghan, Mehdi; Sedaghatjoo, Zeynab The stability study of numerical solution of Fredholm integral equations of the first kind with emphasis on its application in boundary elements method. (English) Zbl 1452.65406 Appl. Numer. Math. 158, 134-151 (2020). MSC: 65R20 45B05 45C05 65N38 PDFBibTeX XMLCite \textit{H. Hosseinzadeh} et al., Appl. Numer. Math. 158, 134--151 (2020; Zbl 1452.65406) 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
Mohammadi, Vahid; Dehghan, Mehdi A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres. (English) Zbl 1433.82023 Appl. Numer. Math. 153, 248-275 (2020). MSC: 82M20 35Q82 82C26 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 153, 248--275 (2020; Zbl 1433.82023) 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
Assari, Pouria; Asadi-Mehregan, Fatemeh; Dehghan, Mehdi On the numerical solution of Fredholm integral equations utilizing the local radial basis function method. (English) Zbl 1499.65739 Int. J. Comput. Math. 96, No. 7, 1416-1443 (2019). MSC: 65R20 31B10 45B05 65D12 PDFBibTeX XMLCite \textit{P. Assari} et al., Int. J. Comput. Math. 96, No. 7, 1416--1443 (2019; Zbl 1499.65739) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi Application of thin plate splines for solving a class of boundary integral equations arisen from Laplace’s equations with nonlinear boundary conditions. (English) Zbl 1499.65706 Int. J. Comput. Math. 96, No. 1, 170-198 (2019). MSC: 65N38 35J05 35J66 45G05 74S25 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Int. J. Comput. Math. 96, No. 1, 170--198 (2019; Zbl 1499.65706) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi On the numerical solution of logarithmic boundary integral equations arising in Laplace’s equations based on the meshless local discrete collocation method. (English) Zbl 1488.65737 Adv. Appl. Math. Mech. 11, No. 4, 807-837 (2019). MSC: 65R20 65N38 65N30 45B05 65N15 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Adv. Appl. Math. Mech. 11, No. 4, 807--837 (2019; Zbl 1488.65737) 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 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
Mohammadi, Vahid; Dehghan, Mehdi Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method. (English) Zbl 1440.74428 Comput. Methods Appl. Mech. Eng. 345, 919-950 (2019). MSC: 74S05 92-10 92C42 37L65 65M22 65M50 65M60 74L15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 345, 919--950 (2019; Zbl 1440.74428) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations. (English) Zbl 1429.65308 Appl. Math. Comput. 350, 249-265 (2019). MSC: 65R20 31A10 45D05 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Appl. Math. Comput. 350, 249--265 (2019; Zbl 1429.65308) Full Text: DOI
Ilati, Mohammad; Dehghan, Mehdi DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates. (English) Zbl 1429.65229 Appl. Math. Comput. 346, 244-253 (2019). MSC: 65M60 35C08 35Q55 35Q82 82C10 PDFBibTeX XMLCite \textit{M. Ilati} and \textit{M. Dehghan}, Appl. Math. Comput. 346, 244--253 (2019; Zbl 1429.65229) 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
Assari, Pouria; Dehghan, Mehdi On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method. (English) Zbl 1450.65180 Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 83, 33 p. (2019). Reviewer: Aurelian Bejancu (Safat) MSC: 65R20 65D12 45B05 41A25 41A63 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 83, 33 p. (2019; Zbl 1450.65180) Full Text: DOI
Dehghan, Mehdi; Mohammadi, Vahid Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization. (English) Zbl 1464.65138 Eng. Anal. Bound. Elem. 107, 168-184 (2019). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Eng. Anal. Bound. Elem. 107, 168--184 (2019; Zbl 1464.65138) 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
Assari, Pouria; Dehghan, Mehdi A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique. (English) Zbl 1417.65220 Appl. Numer. Math. 143, 276-299 (2019). MSC: 65R20 45D05 26A33 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Appl. Numer. Math. 143, 276--299 (2019; Zbl 1417.65220) 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; 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; Safarpoor, Mansour Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations. (English) Zbl 1499.65709 Int. J. Comput. Math. 95, No. 10, 2066-2081 (2018). MSC: 65N38 35R11 26A33 65D12 65R20 65N80 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Safarpoor}, Int. J. Comput. Math. 95, No. 10, 2066--2081 (2018; Zbl 1499.65709) 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; Narimani, Niusha An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue. (English) Zbl 1480.92103 Appl. Math. Modelling 59, 500-513 (2018). MSC: 92C50 92C42 65M60 35Q92 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{N. Narimani}, Appl. Math. Modelling 59, 500--513 (2018; Zbl 1480.92103) 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
Dehghan, Mehdi; Narimani, Niusha Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation. (English) Zbl 1413.65381 Comput. Appl. Math. 37, No. 5, 6955-6971 (2018). MSC: 65M70 65L06 35Q92 92C15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{N. Narimani}, Comput. Appl. Math. 37, No. 5, 6955--6971 (2018; Zbl 1413.65381) 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
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation. (English) Zbl 1403.76102 Eng. Anal. Bound. Elem. 96, 64-77 (2018). MSC: 76M15 65M38 35Q30 76D05 76M20 PDFBibTeX XMLCite \textit{Z. Sedaghatjoo} et al., Eng. Anal. Bound. Elem. 96, 64--77 (2018; Zbl 1403.76102) 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
Assari, Pouria; Dehghan, Mehdi A local Galerkin integral equation method for solving integro-differential equations arising in oscillating magnetic fields. (English) Zbl 1397.78010 Mediterr. J. Math. 15, No. 3, Paper No. 90, 21 p. (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A25 45K05 65R20 78M25 45D05 65D10 35R09 78A35 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Mediterr. J. Math. 15, No. 3, Paper No. 90, 21 p. (2018; Zbl 1397.78010) 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
Assari, Pouria; Dehghan, Mehdi A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions. (English) Zbl 1380.65395 J. Comput. Appl. Math. 333, 362-381 (2018). MSC: 65N38 35J05 35J65 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, J. Comput. Appl. Math. 333, 362--381 (2018; Zbl 1380.65395) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method. (English) Zbl 1377.65158 Appl. Numer. Math. 123, 137-158 (2018). MSC: 65N38 35J05 35J65 65N12 65N15 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Appl. Numer. Math. 123, 137--158 (2018; Zbl 1377.65158) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi Fully spectral collocation method for nonlinear parabolic partial integro-differential equations. (English) Zbl 1377.65169 Appl. Numer. Math. 123, 99-120 (2018). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Appl. Numer. Math. 123, 99--120 (2018; Zbl 1377.65169) Full Text: DOI
Kazemi, Seyed-Mohammad-Mahdi; Dehghan, Mehdi; Foroush Bastani, Ali On a new family of radial basis functions: mathematical analysis and applications to option pricing. (English) Zbl 1372.65283 J. Comput. Appl. Math. 328, 75-100 (2018). MSC: 65M70 91G60 91G20 PDFBibTeX XMLCite \textit{S.-M.-M. Kazemi} et al., J. Comput. Appl. Math. 328, 75--100 (2018; Zbl 1372.65283) Full Text: DOI
Ilati, Mohammad; Dehghan, Mehdi Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem. (English) Zbl 1371.41024 J. Comput. Appl. Math. 327, 314-324 (2018). MSC: 41A30 65M15 PDFBibTeX XMLCite \textit{M. Ilati} and \textit{M. Dehghan}, J. Comput. Appl. Math. 327, 314--324 (2018; Zbl 1371.41024) Full Text: DOI
Dehghan, Mehdi; Mohammadi, Vahid Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model. (English) Zbl 1465.65106 Commun. Nonlinear Sci. Numer. Simul. 44, 204-219 (2017). MSC: 65M70 65M06 65L06 65D12 92C42 92C37 92C50 92-08 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Commun. Nonlinear Sci. Numer. Simul. 44, 204--219 (2017; Zbl 1465.65106) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions. (English) Zbl 1426.65206 Appl. Math. Comput. 315, 424-444 (2017). MSC: 65R20 65N38 41A30 45A05 65N35 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Appl. Math. Comput. 315, 424--444 (2017; Zbl 1426.65206) Full Text: DOI
Dehghan, Mehdi; Mohammadi, Vahid A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method. (English) Zbl 1411.65108 Comput. Phys. Commun. 217, 23-34 (2017). MSC: 65M06 35Q55 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Comput. Phys. Commun. 217, 23--34 (2017; Zbl 1411.65108) 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 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
Dehghan, Mehdi; Mohammadi, Vahid Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation. (English) Zbl 1366.65083 J. Comput. Appl. Math. 321, 540-554 (2017). MSC: 65M20 35K05 65M70 65M15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, J. Comput. Appl. Math. 321, 540--554 (2017; Zbl 1366.65083) 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
Sedaghatjoo, Zeynab; Dehghan, Mehdi; Hosseinzadeh, Hossein On uniqueness of numerical solution of boundary integral equations with 3-times monotone radial kernels. (English) Zbl 1352.65595 J. Comput. Appl. Math. 311, 664-681 (2017). MSC: 65N38 45B05 65Z99 65M70 65R20 PDFBibTeX XMLCite \textit{Z. Sedaghatjoo} et al., J. Comput. Appl. Math. 311, 664--681 (2017; Zbl 1352.65595) Full Text: DOI
Kamranian, Maryam; Dehghan, Mehdi; Tatari, Mehdi An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems. (English) Zbl 1353.65121 Appl. Numer. Math. 111, 181-196 (2017). MSC: 65N30 35J25 35B25 65N15 PDFBibTeX XMLCite \textit{M. Kamranian} et al., Appl. Numer. Math. 111, 181--196 (2017; Zbl 1353.65121) Full Text: DOI
Dehghan, Mehdi; Mohammadi, Vahid Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations. (English) Zbl 1443.65240 Comput. Math. Appl. 71, No. 4, 892-921 (2016). MSC: 65M70 35L71 35Q55 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Comput. Math. Appl. 71, No. 4, 892--921 (2016; Zbl 1443.65240) 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; Mohammadi, Vahid The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods. (English) Zbl 1423.76321 Comput. Methods Appl. Mech. Eng. 298, 453-484 (2016). MSC: 76M22 65M70 74E15 74N05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Comput. Methods Appl. Mech. Eng. 298, 453--484 (2016; Zbl 1423.76321) Full Text: DOI
Dehghan, Mehdi; Najafi, Mahboubeh Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods. (English) Zbl 1403.80037 Eng. Anal. Bound. Elem. 72, 111-127 (2016). MSC: 80M22 65M70 80A22 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Najafi}, Eng. Anal. Bound. Elem. 72, 111--127 (2016; Zbl 1403.80037) Full Text: DOI