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 50 条

[1] Γ-limit for the extended Fisher-Kolmogorov equation
Hilhorst, D
Peletier, LA
Schätzle, R
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 141 - 162
[2] An efficient wavelet collocation method for nonlinear two-space dimensional Fisher-Kolmogorov-Petrovsky-Piscounov equation and two-space dimensional extended Fisher-Kolmogorov equation
Oruc, Omer
ENGINEERING WITH COMPUTERS, 2020, 36 (03) : 839 - 856
[3] Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation
Qiao, L.
Nikan, O.
Avazzadeh, Z.
APPLIED NUMERICAL MATHEMATICS, 2023, 185 (466-482) : 466 - 482
[4] An Efficient Technique to Study Time Fractional Extended Fisher-Kolmogorov Equation
Pavani, K.
Raghavendar, K.
Aruna, K.
CONTEMPORARY MATHEMATICS, 2024, 5 (02): : 1200 - 1215
[5] Uniqueness of solutions for the extended Fisher-Kolmogorov equation
Van, Den Berg, J. B.
Comptes Rendus De L'Academie Des Sciences. Serie I, Mathematique, 326 (04):
[6] The Cauchy problem for the extended Fisher-Kolmogorov equation
Peletier, LA
Pokhozhaev, SI
DIFFERENTIAL EQUATIONS, 1999, 35 (03) : 352 - 368
[7] Heteroclinic solutions for the extended Fisher-Kolmogorov equation
Yeun, Y. L.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 407 (01) : 119 - 129
[8] Attractor Bifurcation for Extended Fisher-Kolmogorov Equation
You, Honglian
Yuan, Rong
Zhang, Ziheng
ABSTRACT AND APPLIED ANALYSIS, 2013,
[9] Uniqueness of solutions for the extended Fisher-Kolmogorov equation
van den Berg, JB
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (04): : 447 - 452
[10] Finite difference discretization of the extended Fisher-Kolmogorov equation in two dimensions
Khiari, Noomen
Omrani, Khaled
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4151 - 4160

← 1 2 3 4 5 →