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

共 50 条

[21] Compact difference scheme for two-dimensional fourth-order hyperbolic equation
Qing Li
Qing Yang
Advances in Difference Equations, 2019
[22] Compact difference scheme for two-dimensional fourth-order hyperbolic equation
Li, Qing
Yang, Qing
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[23] A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation
Li, Shuguang
Wang, Jue
Luo, Yuesheng
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[24] A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
Li, Yibao
Lee, Hyun Geun
Xia, Binhu
Kim, Junseok
COMPUTER PHYSICS COMMUNICATIONS, 2016, 200 : 108 - 116
[25] New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
Ran, Maohua
Zhang, Chengjian
APPLIED NUMERICAL MATHEMATICS, 2018, 129 : 58 - 70
[26] High-accuracy alternating difference scheme for the fourth-order diffusion equation
Guo, Geyang (guogeyang2000@sina.com), 1600, International Association of Engineers (47):
[27] Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction-diffusion equation
Sun, Hong
Cao, Wanrong
Zhang, Ming
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (05) : 991 - 1008
[28] A NUMERICAL SCHEME FOR TIME-FRACTIONAL FOURTH-ORDER REACTION-DIFFUSION MODEL
Koc, Dilara Altan
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2023, 22 (02) : 15 - 25
[29] A fourth-order linearized difference scheme for the coupled space fractional Ginzburg-Landau equation
Xu, Yuan
Zeng, Jiali
Hu, Shuanggui
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[30] A three level linearized compact difference scheme for the Cahn-Hilliard equation
LI Juan 1
2 Yingtian College
Science China(Mathematics), 2012, 55 (04) : 800 - 821

← 1 2 3 4 5 →