Fisher-Kolmogorov-Petrovsky-Piscounov Reaction and n-Diffusion Cattaneo Telegraph Equation

被引：1

作者：

Dangui-Mbani, Ulrich Olivier ^{[1
,2
]}

Sui, Jize ^{[1
,2
]}

Zheng, Liancun ^{[2
]}

Bin-Mohsin, Bandar ^{[3
]}

Chen, Goong ^{[4
,5
,6
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Energy & Environm Engn, Beijing 100083, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 14451, Saudi Arabia

[4] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[5] Texas A&M Univ, Inst Quantum Sci & Engn, College Stn, TX 77843 USA

[6] Texas A&M Univ Qatar, Sci Program, Educ City Student Ctr, Doha, Qatar

来源：

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME | 2017年 / 139卷 / 07期

关键词：

Fisher-KPP reaction; n-diffusion; Cattaneo telegraph equation; Adomian decomposition method; non-Fourier law; PERIODIC HEAT-TRANSFER; DECOMPOSITION METHOD; FINS;

D O I：

10.1115/1.4036005

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper presents research for a class of recombination reaction and diffusion problems in which the Cattaneo relaxation, n-diffusion flux, and p-Fisher-Kolmogorov-Petrovsky-Piscounov (KPP) reaction are considered. Approximate analytical solutions are obtained by Adomian decomposition method (ADM) and shown graphically. Some interesting results for spatial variable and temporal variable evolution are obtained. For specified spatial variable, the temperature profiles decrease with respect to the increase of relaxation parameter and power-law index n but decrease with respect to Fisher-KPP reaction parameter p. For specified temporal variable, the temperature profiles are seem oscillating with values of the relaxation parameter and power-law index n.

引用

页数：5

共 50 条

[1] Noisy wavefront propagation in the Fisher-Kolmogorov-Petrovsky-Piscounov equation
Doering, CR
Mueller, C
Smereka, P
UNSOLVED PROBLEMS OF NOISE AND FLUCTUATIONS, 2003, 665 : 523 - 530
[2] Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation, and duality
Doering, CR
Mueller, C
Smereka, P
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 325 (1-2) : 243 - 259
[3] Numerical treatment of the spherically symmetric solutions of a generalized Fisher-Kolmogorov-Petrovsky-Piscounov equation
Macias-Diaz, J. E.
Medina-Ramirez, I. E.
Puri, A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (02) : 851 - 868
[4] ON THE NONLINEAR DIFFUSION EQUATION OF KOLMOGOROV, PETROVSKY, AND PISCOUNOV
LAU, KS
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 59 (01) : 44 - 70
[5] An Unconditionally Stable Difference Scheme for the Two-Dimensional Modified Fisher-Kolmogorov-Petrovsky-Piscounov Equation
Kwak, Soobin
Kang, Seungyoon
Ham, Seokjun
Hwang, Youngjin
Lee, Gyeonggyu
Kim, Junseok
JOURNAL OF MATHEMATICS, 2023, 2023
[6] An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation
Macias-Diaz, J. E.
Puri, A.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5829 - 5837
[7] A second-order accurate finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation
Izadi, Mohammad
JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2021, 42 (02): : 431 - 448
[8] Analysis of a class of stabilized and structure-preserving finite difference methods for Fisher-Kolmogorov-Petrovsky-Piscounov equation
Deng, Dingwen
Liang, Yuxin
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2025, 184 : 86 - 106
[9] Wave propagation in the Kolmogorov-Petrovsky-Piscounov-Fisher equation with delay
Aleshin, S. V.
Glyzin, S. D.
Kashchenko, S. A.
THEORETICAL AND MATHEMATICAL PHYSICS, 2024, 220 (03) : 1411 - 1428
[10] 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

← 1 2 3 4 5 →