Journal article
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.
- Publication status:
- Published
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- Publisher copy:
- 10.1093/imamat/64.1.23
Authors
- Publisher:
- Oxford Univ Press
- Journal:
- IMA JOURNAL OF APPLIED MATHEMATICS More from this journal
- Volume:
- 64
- Issue:
- 1
- Pages:
- 23-38
- Publication date:
- 2000-02-01
- DOI:
- EISSN:
-
1464-3634
- ISSN:
-
0272-4960
- Language:
-
English
- Pubs id:
-
pubs:190196
- UUID:
-
uuid:f3fd48b9-952d-482d-90d0-30f4a5126a6d
- Local pid:
-
pubs:190196
- Source identifiers:
-
190196
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright date:
- 2000
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