Finite element analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions

被引：10

作者：

Al-Juaifri, Ghassan A. ^{[1
,2
]}

Harfash, Akil J. ^{[1
]}

机构：

[1] Univ Basrah, Coll Sci, Dept Math, Basrah, Iraq

[2] Univ Kufa, Fac Comp Sci & Math, Dept Math, Kufa, Iraq

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 203卷

关键词：

Semi -discrete approximation; Fully discrete approximation; Robin boundary; Fitzhugh-Nagumo; Error bounds; ADDITIONAL CROSS-DIFFUSION; CAHN-HILLIARD EQUATION; KELLER-SEGEL MODEL; APPROXIMATION; WAVES;

D O I：

10.1016/j.matcom.2022.07.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we investigate the numerical analysis of Fitzhugh-Nagumo (FHN) reaction-diffusion equations. The properties of numerical solutions of a semi-discrete and fully-practical piecewise linear finite element technique are provided. Moreover, for a semi-discrete and fully discrete finite element approximation, we establish a priori estimates and error bounds. We also introduce the results of some numerical examples in one and two dimensions, which confirm the theoretical findings of this paper.(c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：486 / 517

页数：32

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