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2011•Journal of MathematicsRequires access

A CLASS OF SINGULARLY PERTURBED NONLINEAR REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS

Mo Jia-Qi, Yao Jing-sun

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Abstract

In this paper,a class of models for nonlinear reaction diffusion singularly perturbed problem with two parameters is studied.Using the singular perturbation method,the structure of solution for the problem is discussed related two small parameters.The asymptotic solution of the problem is given.And from the expansion for solution,it shows that there are initial layer and boundary layer at the same time.

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What this paper is about

In this paper,a class of models for nonlinear reaction diffusion singularly perturbed problem with two parameters is studied.Using the singular perturbation method,the structure of solution for the problem is discussed related two small parameters.The asymptotic solution of the problem is given.And from the expansion for solution,it shows that there are initial layer and boundary layer at the same time.

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Available abstract

In this paper,a class of models for nonlinear reaction diffusion singularly perturbed problem with two parameters is studied.Using the singular perturbation method,the structure of solution for the problem is discussed related two small parameters.The asymptotic solution of the problem is given.And from the expansion for solution,it shows that there are initial layer and boundary layer at the same time.

Key concepts: Singular perturbation, Mathematics, Method of matched asymptotic expansions, Reaction–diffusion system, Nonlinear system, Mathematical analysis, Asymptotic expansion, Class (philosophy)

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