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

abstract

• Copyright © 2017 by ASME. 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.

authors

• Chen, Goong

altmetric score

• 0.25

author list (cited authors)

• Dangui-Mbani, U. O., Sui, J., Zheng, L., Bin-Mohsin, B., & Chen, G.

citation count

• 0

publication date

• March 2017

publisher

• ASME International  Publisher

published in

• JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME  Journal

keywords

• Adomian Decomposition Method
• Cattaneo Telegraph Equation
• Fisher-kpp Reaction
• N-diffusion
• Non-fourier Law

Digital Object Identifier (DOI)

• 10.1115/1.4036005

start page

• 074502

volume

• 139

issue

• 7