Analytic treatment for variable coefficient fourth-order parabolic partialdifferential equations

Authors
Wazwaz, AM
Citation
Am. Wazwaz, Analytic treatment for variable coefficient fourth-order parabolic partialdifferential equations, APPL MATH C, 123(2), 2001, pp. 219-227
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
123
Issue
2
Year of publication
2001
Pages
219 - 227
Database
ISI
SICI code
0096-3003(20010925)123:2<219:ATFVCF>2.0.ZU;2-3
Abstract
The variable coefficient fourth-order parabolic partial differential equati on in one space variable that arise in the study of the transverse vibratio ns of a uniform flexible beam is examined. The analytic solution is obtaine d by using Adomian decomposition method. The nonhomogeneous problem is solv ed by using the noise terms phenomenon. The method is tested on three probl ems which have appeared in physical applications. (C) 2001 Elsevier Science Inc. All rights reserved.