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.
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页码：4699 / 4716
页数：18
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