2009•Journal of Anhui University of TechnologyRequires access

Corner Layer for a Higher-order Asymptotic Solutions of Initial Boundary Value Problem for a Singularly Perturbed Parabolic Equation

Chen Song-lin

Abstract

The singularly perturbed nonlinear boundary value problems are considered. Under suitable conditions, firstly, the higher order formal asymptotic expression of the solution of original problem is obtained by using the stretched variable and the expanding theory of power series, and secondly, by using the theory of differential inequalities the uniform validity of the formal solution are studied.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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