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 … M Dehghan, V Mohammadi Computer Physics Communications, 2017 | 83 | 2017 |
The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ … M Dehghan, V Mohammadi Engineering Analysis with Boundary Elements 51, 74-100, 2015 | 76 | 2015 |
The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank–Nicolson scheme and the method … M Dehghan, V Mohammadi Computers & Mathematics with Applications 70 (10), 2292-2315, 2015 | 64 | 2015 |
The numerical solution of Fokker–Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa׳ s approach and Galerkin method M Dehghan, V Mohammadi Engineering Analysis with Boundary Elements 47, 38-63, 2014 | 64 | 2014 |
The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods M Dehghan, V Mohammadi Computer Methods in Applied Mechanics and Engineering 298, 453-484, 2016 | 57 | 2016 |
Simulation of the phase field Cahn–Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method V Mohammadi, M Dehghan Computer Methods in Applied Mechanics and Engineering 345, 919-950, 2019 | 56 | 2019 |
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 … M Dehghan, V Mohammadi Computers & Mathematics with Applications 71 (4), 892-921, 2016 | 47 | 2016 |
Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model M Dehghan, V Mohammadi Communications in Nonlinear Science and Numerical Simulation 44, 204-219, 2017 | 32 | 2017 |
Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization V Mohammadi, M Dehghan, S De Marchi Journal of Computational and Applied Mathematics 388, 113314, 2021 | 29 | 2021 |
Numerical Simulation and Error Estimation of the Time-Dependent Allen–Cahn Equation on Surfaces with Radial Basis Functions V Mohammadi, D Mirzaei, M Dehghan Journal of Scientific Computing 79 (1), 493-516, 2019 | 28 | 2019 |
Two-dimensional simulation of the damped Kuramoto–Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization M Dehghan, V Mohammadi Engineering Analysis with Boundary Elements 107, 168-184, 2019 | 25 | 2019 |
Numerical investigation on the transport equation in spherical coordinates via generalized moving least squares and moving kriging least squares approximations V Mohammadi, M Dehghan, A Khodadadian, T Wick Engineering with Computers 37, 1231–1249, 2021 | 24 | 2021 |
A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent … V Mohammadi, M Dehghan Applied Numerical Mathematics 153, 248-275, 2020 | 15 | 2020 |
A divergence-free generalized moving least squares approximation with its application V Mohammadi, M Dehghan Applied Numerical Mathematics 162, 374-404, 2021 | 12 | 2021 |
The boundary knot method for the solution of two-dimensional advection reaction-diffusion and Brusselator equations M Dehghan, V Mohammadi International Journal of Numerical Methods for Heat & Fluid Flow 31, 106-133, 2020 | 12 | 2020 |
Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation M Dehghan, V Mohammadi Journal of Computational and Applied Mathematics 321, 540-554, 2017 | 12 | 2017 |
Generalized moving least squares approximation for the solution of local and non-local models of cancer cell invasion of tissue under the effect of adhesion in one- and two … V Mohammadi, M Dehghan Computers in Biology and Medicine, 2020 | 10 | 2020 |
A POD-RBF-FD scheme for simulating chemotaxis models on surfaces V Mohammadi, M Dehghan Engineering Analysis with Boundary Elements 143, 316-330, 2022 | 9 | 2022 |
An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration V Mohammadi, M Dehghan, A Khodadadian, N Noii, T Wick Applied Mathematical Modelling 104, 826-849, 2022 | 6 | 2022 |
Error estimates of divergence-free generalized moving least squares (Div-Free GMLS) derivatives approximations in Sobolev spaces V Mohammadi, M Dehghan Applied Numerical Mathematics 192, 373-388, 2023 | 1 | 2023 |