The modified decomposition method applied to unsteady flow of gas through a porous medium

Authors
Wazwaz, AM
Citation
Am. Wazwaz, The modified decomposition method applied to unsteady flow of gas through a porous medium, APPL MATH C, 118(2-3), 2001, pp. 123-132
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
118
Issue
2-3
Year of publication
2001
Pages
123 - 132
Database
ISI
SICI code
0096-3003(20010309)118:2-3<123:TMDMAT>2.0.ZU;2-4
Abstract
In this paper, an analytic solution for the unsteady flow of gas through a porous medium is constructed. Our approach rests on the recently developed modification of the Adomian decomposition method. The diagonal Pade approxi mants are effectively used in the analysis to capture the essential behavio r of y(x) and to determine the initial slope y'(0). The proposed scheme avo ids the complexity provided by using perturbation techniques. (C) 2001 Else vier Science Inc. All rights reserved.