A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation

被引：2

作者：

Boujlida, Hanen ^{[1
]}

Ismail, Kaouther ^{[2
]}

Omrani, Khaled ^{[3
]}

机构：

[1] Univ Sousse, Ecole Super Sci & Technol Hammam Sousse, LAMMDA, 4011 H Sousse,Rue L Abassi, Sousse, Tunisia

[2] Univ Carthage, Ecole Polytech Tunis, Phys Math Modelisat Quant & Concept Mecan, LR18ES45, Rue Khawarezmi, La Marsa 2078, Tunisia

[3] Univ Tunis Manar, Inst Preparatoire Etud Ingenieurs El Manar, Phys Math Modelisat Quant & Concept Mecan, LR18ES45, Tunis 2092, Tunisia

来源：

APPLIED NUMERICAL MATHEMATICS | 2024年 / 195卷

关键词：

EFK equation; Linearized compact difference scheme; Solvability; Convergence; COLLOCATION METHOD; ERROR ANALYSIS; KOLMOGOROV;

D O I：

10.1016/j.apnum.2023.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A high-order accuracy finite difference scheme is investigated to solve the one-dimensional extended Fisher-Kolmogorov (EFK) equation. A three level linearized compact finite difference scheme is proposed. Priori estimates and unique solvability are discussed in detail by the discrete energy method. The unconditional stability and convergence of the difference solution are proved. The new compact difference scheme has secondorder accuracy in time and fourth-order accuracy in space in maximum norm. Numerical experiments demonstrate the accuracy, efficiency of our proposed technique. (c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：126 / 141

页数：16

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