An efficient computational approach for solving two-dimensional extended Fisher-Kolmogorov equation

被引：4

作者：

Ismail, Kaouther ^{[1
]}

Rahmeni, Mohamed ^{[2
]}

Omrani, Khaled ^{[3
]}

机构：

[1] Univ Carthage, Ecole Polytech Tunis, LR18ES45, Phys Math Modelisat Quant & Concept Mecan, La Marsa, Tunisia

[2] Univ Sousse, Phys Math Modelisat Quant & Concept Mecan, Ecole Super Sci & Technol Hammam Sousse, LR18ES45, Sousse, Tunisia

[3] Univ Tunis El Manar, Inst Preparatoire Etud Ingenieurs El Manar, Phys Math Modelisat Quant & Concept Mecan, LR18ES45, Tunis, Tunisia

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 17期

关键词：

Extended Fisher-Kolmogorov equation; linearized difference scheme; solvability; convergence;

D O I：

10.1080/00036811.2022.2134123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The extended Fisher-Kolmogorov (EFK) system is a strong nonlinear fourth-order reaction diffusion evolution equation. So far, the numerical methods for solving this problem are only a few. This paper deals with the finite difference solution to the two-dimensional EFK equation. The scheme is proved to be uniquely solvable and second-order convergent in both time and space in maximum norm. Finally, some numerical examples have been illustrated to verify the efficiency and simplicity of the proposed technique.

引用

页码：4699 / 4716

页数：18

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