A finite element approach for analysis and computational modelling of coupled reaction diffusion models
In this article, we establish the existence and uniqueness of solutions to the coupled reaction–
diffusion models using Banach fixed point theorem. The Galerkin finite element method is …
diffusion models using Banach fixed point theorem. The Galerkin finite element method is …
[图书][B] Generalized fractional order differential equations arising in physical models
This book analyzes the various semi-analytical and analytical methods for finding
approximate and exact solutions of fractional order partial differential equations. It explores …
approximate and exact solutions of fractional order partial differential equations. It explores …
Numerical simulation to capture the pattern formation of coupled reaction-diffusion models
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 …
coupled reaction-diffusion models. To accomplish this work, a new differential quadrature …
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models
In this paper two numerical procedures are presented for solving a class of Turing system.
Firstly, we obtain a time discrete scheme by approximating time derivative via finite …
Firstly, we obtain a time discrete scheme by approximating time derivative via finite …
[HTML][HTML] Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach
M Dehghan, M Abbaszadeh - Computers & Mathematics with Applications, 2016 - Elsevier
In this paper a numerical procedure is presented for solving a class of three-dimensional
Turing system. First, we discrete the spatial direction using element free Galerkin (EFG) …
Turing system. First, we discrete the spatial direction using element free Galerkin (EFG) …
Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models
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 …
reaction–diffusion systems which are usually highly stiff in both diffusion and reaction terms …
Examining the efficacy of localised gemcitabine therapy for the treatment of pancreatic cancer using a hybrid agent-based model
The prognosis for pancreatic ductal adenocarcinoma (PDAC) patients has not significantly
improved in the past 3 decades, highlighting the need for more effective treatment …
improved in the past 3 decades, highlighting the need for more effective treatment …
A local radial basis function differential quadrature semi-discretisation technique for the simulation of time-dependent reaction-diffusion problems
Purpose This paper aims to develop a meshfree algorithm based on local radial basis
functions (RBFs) combined with the differential quadrature (DQ) method to provide …
functions (RBFs) combined with the differential quadrature (DQ) method to provide …
On the spatiotemporal pattern formation in nonlinear coupled reaction–diffusion systems
Nonlinear coupled reaction–diffusion (NCRD) systems have played a crucial role in the
emergence of spatiotemporal patterns across various scientific and engineering domains …
emergence of spatiotemporal patterns across various scientific and engineering domains …
Unconditionally energy stable C0-virtual element scheme for solving generalized Swift-Hohenberg equation
M Dehghan, Z Gharibi, MR Eslahchi - Applied Numerical Mathematics, 2022 - Elsevier
The very recently introduced Virtual Element Method (VEM) is a numerical method for
solving partial differential equations that was created out of the mimetic difference method …
solving partial differential equations that was created out of the mimetic difference method …