Small exponent asymptotics

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

doi:10.1093/imamat/64.1.23

Small exponent asymptotics

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	23-38
Number of pages	16
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	64
Issue number	1
DOIs	https://doi.org/10.1093/imamat/64.1.23
Publication status	Published - Feb 2000
Externally published	Yes

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title = "Small exponent asymptotics",

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.",

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AB - 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.

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DO - 10.1093/imamat/64.1.23

M3 - Article

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JO - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

JF - IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

IS - 1

ER -

Small exponent asymptotics

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