Small exponent asymptotics
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...
| Hoofdauteurs: | , , |
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| Formaat: | Journal article |
| Taal: | English |
| Gepubliceerd in: |
Oxford Univ Press
2000
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| Samenvatting: | 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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