An alternative example of the method of multiple scales

Authors
Citation
Da. Edwards, An alternative example of the method of multiple scales, SIAM REV, 42(2), 2000, pp. 317-332
Citations number
17
Categorie Soggetti
Mathematics
Journal title
SIAM REVIEW
ISSN journal
00361445 → ACNP
Volume
42
Issue
2
Year of publication
2000
Pages
317 - 332
Database
ISI
SICI code
0036-1445(200006)42:2<317:AAEOTM>2.0.ZU;2-9
Abstract
An alternative example of the method of multiple scales is presented. This example arises in the study of the classical heat equation with a slowly va rying flux imposed at one end. The module presents introductory ideas about dimensionless variables, multiple-scale expansions, and scaling of the dep endent variable. The necessarily obfuscating algebraic computation is less than that for more familiar multiple-scale examples, such as the perturbed oscillator. The results are analyzed for both their physical and mathematic al importance.