Small exponent asymptotics

A. C. Fowler, G. Kember, S. G. Brien

Research output: Contribution to journalArticlepeer-review

Abstract

We study the surprisingly complicated asymptotic character of a simple first-order differential equation, which involves a term with a low exponent of the dependent variable. While numerical solutions and straightforward asymptotic expansions indicate a clearly defined boundary layer type transition, we find that the correct asymptotic structure involves a 'hidden' boundary layer, and that a straightforward approach cannot discern this.

Original languageEnglish
Pages (from-to)23-38
Number of pages16
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume64
Issue number1
DOIs
Publication statusPublished - Feb 2000
Externally publishedYes

Fingerprint

Dive into the research topics of 'Small exponent asymptotics'. Together they form a unique fingerprint.

Cite this