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 | |
Publication status | Published - Feb 2000 |
Externally published | Yes |