Asymptotic solution of nonlocal nonlinear reaction-diffusion Robin problems with two parameters

MO Jia-Qi

doi:10.1007/s10483-009-0806-x

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 8: 1003 - 1008

DOI: https://doi.org/10.1007/s10483-009-0806-x

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Asymptotic solution of nonlocal nonlinear reaction-diffusion Robin problems with two parameters

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1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU,Shanghai 200240, P. R. China

Received date: 2009-02-12

Revised date: 2009-06-18

Online published: 2009-08-01

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Abstract

In this paper, the nonlocal nonlinear reaction-diffusion singularly perturbed problems with two parameters are studied. Using a singular perturbation method, the structure of the solutions to the problem is discussed in relation to two small parameters.The asymptotic solutions of the problem are given.

Key words： reaction-diffusion system, singular perturbation, initial boundary value problem

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MO Jia-Qi . Asymptotic solution of nonlocal nonlinear reaction-diffusion Robin problems with two parameters[J]. Applied Mathematics and Mechanics, 2009 , 30(8) : 1003 -1008 . DOI: 10.1007/s10483-009-0806-x

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