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.
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页码：969 / 979
页数：11
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