The decomposition method for initial value problems

被引：15
|
作者：
Lesnic, D. [1 ]
机构：
[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 01期
关键词：
decomposition method; heat equation; plate equation; wave equation;
D O I：
10.1016/j.amc.2006.01.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, initial value problems for the heat, wave and plate equations in which the vectorial space variable varies in the whole R-d will be handled using the reliable decomposition method. The solutions are obtained in the form of rapidly convergent power series with elegantly computable terms showing that the new technique is reliable, powerful and promising. (c) 2006 Elsevier Inc. All rights reserved.
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页码：206 / 213
页数：8
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