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

共 23 条

[1] Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher-Kolmogorov equation
Abbaszadeh, Mostafa
Dehghan, Mehdi
Khodadadian, Amirreza
Heitzinger, Clemens
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 80 (01) : 247 - 262
[2] VORTEX-FRONT PROPAGATION IN ROTATING COUETTE-TAYLOR FLOW
AHLERS, G
CANNELL, DS
[J]. PHYSICAL REVIEW LETTERS, 1983, 50 (20) : 1583 - 1586
[3] MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS
ARONSON, DG
WEINBERGER, HF
[J]. ADVANCES IN MATHEMATICS, 1978, 30 (01) : 33 - 76
[4] Gegenbauer wavelet collocation method for the extended Fisher-Kolmogorov equation in two dimensions
Celik, Ibrahim
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (08) : 5615 - 5628
[5] NATURE OF SPATIAL CHAOS
COULLET, P
ELPHICK, C
REPAUX, D
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (05) : 431 - 434
[6] Danumjaya P, 2006, INT J NUMER ANAL MOD, V3, P186
[7] BISTABLE SYSTEMS WITH PROPAGATING FRONTS LEADING TO PATTERN-FORMATION
DEE, GT
VANSAARLOOS, W
[J]. PHYSICAL REVIEW LETTERS, 1988, 60 (25) : 2641 - 2644
[8] Local radial basis function-finite-difference method to simulate some models in the nonlinear wave phenomena: regularized long-wave and extended Fisher-Kolmogorov equations
Dehghan, Mehdi
Shafieeabyaneh, Nasim
[J]. ENGINEERING WITH COMPUTERS, 2021, 37 (02) : 1159 - 1179
[9] A Finite Pointset Method for Extended Fisher-Kolmogorov Equation Based on Mixed Formulation
Doss, L. Jones Tarcius
Kousalya, N.
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2021, 18 (01)
[10] EXPERIMENTS ON DIRECTOR WAVES IN NEMATIC LIQUID-CRYSTALS
GUOZHEN, Z
[J]. PHYSICAL REVIEW LETTERS, 1982, 49 (18) : 1332 - 1335

← 1 2 3 →