M Ilati, M Dehghan - Engineering with Computers, 2017 - Springer
Mathematical modeling of pattern formation in developmental biology leads to non-linear reaction–diffusion systems which are usually highly stiff in both diffusion and reaction terms …
A Shokri, E Bahmani - Engineering Analysis with Boundary Elements, 2019 - Elsevier
In this paper, the direct meshless local Petrov–Galerkin (DMLPG) approximation is proposed to solve the two-dimensional complex Ginzburg–Landau equation. DMLPG uses a …
M Ilati, M Dehghan - Computers & Mathematics with Applications, 2016 - Elsevier
In this paper, four meshless local weak form methods such as direct meshless local Petrov– Galerkin method (DMLPG), meshless local Petrov–Galerkin method (MLPG), local weak …
In this study, a meshless thermal modeling with meshless local moving kriging interpolation method is presented for analysis of functionally graded porous (FGP) materials under the …
M Dehghan, N Narimani - Computational and Applied Mathematics, 2018 - Springer
In this paper, a meshless approximation based on generalized moving least squares is applied to solve the reaction–diffusion equations on the sphere and red-blood cell surfaces …
M Dehghan, Z Gharibi - Journal of Scientific Computing, 2021 - Springer
The virtual element method (VEM) is a recent technology that can make use of very general polygonal/polyhedral meshes without the need to integrate complex nonpolynomial …
M Ilati, M Dehghan - Journal of Computational and Applied Mathematics, 2018 - Elsevier
In this paper, meshless weak form techniques are applied to find the numerical solution of nonlinear biharmonic Sivashinsky equation arising in the alloy solidification problem …
M Ilati - The European Physical Journal Plus, 2020 - Springer
In this paper, a meshless local moving Kriging method is applied for numerical solving of nonlinear Kuramoto–Tsuzuki and Ginzburg–Landau equations on regular and irregular …
S Esmaili, MR Eslahchi - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
In this article, we want to solve a free boundary problem which models tumor growth with drug application. This problem includes five time dependent partial differential equations …