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

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