The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations M Ilati, M Dehghan Engineering Analysis with Boundary Elements 52, 99-109, 2015 | 76 | 2015 |
Direct local boundary integral equation method for numerical solution of extended Fisher–Kolmogorov equation M Ilati, M Dehghan Engineering with Computers 34, 203-213, 2018 | 48 | 2018 |
Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models M Ilati, M Dehghan Engineering with Computers 33, 107-124, 2017 | 36 | 2017 |
Remediation of contaminated groundwater by meshless local weak forms M Ilati, M Dehghan Computers & Mathematics with Applications 72 (9), 2408-2416, 2016 | 30 | 2016 |
DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose–Einstein condensates M Ilati, M Dehghan Applied Mathematics and Computation 346, 244-253, 2019 | 23 | 2019 |
Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem M Ilati, M Dehghan Journal of Computational and Applied Mathematics 327, 314-324, 2018 | 21 | 2018 |
A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction–diffusion equation M Haghi, M Ilati, M Dehghan Engineering with Computers 39 (2), 1329-1340, 2023 | 16 | 2023 |
Meshless local weak form method based on a combined basis function for numerical investigation of Brusselator model and spike dynamics in the Gierer-Meinhardt system M Ilati, M Dehghan Comput Model Eng Sci (CMES) 109 (4), 325-360, 2015 | 12 | 2015 |
A meshless local moving Kriging method for solving Ginzburg–Landau equation on irregular domains M Ilati The European Physical Journal Plus 135 (11), 1-18, 2020 | 7 | 2020 |
Analysis and application of the interpolating element-free Galerkin method for extended Fisher–Kolmogorov equation which arises in brain tumor dynamics modeling M Ilati Numerical Algorithms 85 (2), 485-502, 2020 | 7 | 2020 |
A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg–Landau equation M Haghi, M Ilati, M Dehghan Computational and Applied Mathematics 42 (3), 115, 2023 | 6 | 2023 |
An interactive algorithm for solving multiobjective optimization problems based on a general scalarization technique M Ghaznavi, M Ilati, E Khorram Iranian journal of numerical analysis and optimization 6 (1), 79-101, 2016 | 5 | 2016 |
A local meshless method for solving multi-dimensional Galilei invariant fractional advection–diffusion equation S Eslami, M Ilati, M Dehghan Engineering Analysis with Boundary Elements 143, 283-292, 2022 | 4 | 2022 |
DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs M Ilati Computers & Mathematics with Applications 80 (5), 604-616, 2020 | 4 | 2020 |
A local radial basis function-compact finite difference method for Sobolev equation arising from fluid dynamics M Ilati Engineering Analysis with Boundary Elements 169, 106020, 2024 | | 2024 |
Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded … M Ilati, M Abbaszadeh International Journal of Computer Mathematics, 1-20, 2024 | | 2024 |
A Local Meshless Method for Numerical Simulation of Dendritic Crystal Growth M Ilati Mathematical Researches 9 (4), 156-177, 2023 | | 2023 |