Numerical simulation to capture the pattern formation of coupled reaction-diffusion models

R Jiwari, S Singh, A Kumar - Chaos, Solitons & Fractals, 2017 - Elsevier
This work deals to capture the different types of patterns of nonlinear time dependent
coupled reaction-diffusion models. To accomplish this work, a new differential quadrature …

Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models

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 …

Direct meshless local Petrov–Galerkin (DMLPG) method for 2D complex Ginzburg–Landau equation

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 …

[HTML][HTML] Remediation of contaminated groundwater by meshless local weak forms

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 …

A meshless thermal modelling for functionally graded porous materials under the influence of temperature dependent heat sources

MIP Hidayat - Engineering Analysis with Boundary Elements, 2022 - Elsevier
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 …

Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction–diffusion equation

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 …

Virtual element method for solving an inhomogeneous Brusselator model with and without cross-diffusion in pattern formation

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 …

[HTML][HTML] Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification …

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 …

A meshless local moving Kriging method for solving Ginzburg–Landau equation on irregular domains

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 …

Application of collocation method for solving a parabolic‐hyperbolic free boundary problem which models the growth of tumor with drug application

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 …