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

被引:43
作者
Wazwaz, AM [1 ]
机构
[1] St Xavier Univ, Dept Math & Comp Sci, Chicago, IL 60655 USA
关键词
the unsteady flow of gas; the modified decomposition method; adomian polynomials; Pade approximants;
D O I
10.1016/S0096-3003(99)00209-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 approximants are effectively used in the analysis to capture the essential behavior of y(x) and to determine the initial slope y'(0). The proposed scheme avoids the complexity provided by using perturbation techniques. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:123 / 132
页数:10
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