Exact solutions to one dimensional non-homogeneous parabolic problems by the homogeneous Adomian decomposition method

被引：10

作者：

Jang, Bongsoo ^{[1
]}

机构：

[1] Kent State Univ, Dept Math, Ashtabula, OH 44004 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期

关键词：

non-homogeneous parabolic equation; Adomian decomposition method; the modified decomposition method; two-step; SOLUTION SERIES; NOISE TERMS; CONVERGENCE; EQUATIONS;

D O I：

10.1016/j.amc.2006.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a reliable modification of Adomian decomposition method, namely the homogeneous Adomian decomposition method (HADM), that solves one dimensional non-homogeneous parabolic equations with a variable coefficient. The effectiveness of this method is verified through illustrative examples. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：969 / 979

页数：11

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