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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (8): 1003-1008.doi: https://doi.org/10.1007/s10483-009-0806-x

• Articles • 上一篇    下一篇

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

莫嘉琪1,2   

  1. 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
  • 收稿日期:2009-02-12 修回日期:2009-06-18 出版日期:2009-08-01 发布日期:2009-08-01

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

 MO Jia-Qi1,2   

  1. 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:2009-02-12 Revised:2009-06-18 Online:2009-08-01 Published:2009-08-01

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摘要： 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.

关键词: reaction-diffusion system, singular perturbation, initial boundary value problem

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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