2006•Journal of Anhui Normal UniversityRequires access

Asymptotic Solution to a Nonlinear Singularly Perturbed Problem

Yao Jing-sun

Abstract

A nonlinear singularly perturbed boundary value problem for the differential equation of second order is considered.Firstly,the outer solution to the problem is constructed in a series of asymptotic array.Secondly, using the contracted variable the internal solution is obtained.Finally,using the matched method the uniform validly asymptotic solution to the original singularly perturbed problem is given.

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Key concepts: Method of matched asymptotic expansions, Singular perturbation, Mathematics, Asymptotic expansion, Nonlinear system, Mathematical analysis, Boundary value problem, Series (stratigraphy)