Rectangular decomposition method for fractional diffusion-wave equations

被引：12
|
作者：
Odibat, Zaid M. [1 ]
机构：
[1] Al Balqa Appl Univ, Prince Abdullah Bin Ghazi Fac Sci & IT, Salt, Jordan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期
关键词：
rectangular decomposition method; fractional integral; caputo derivative; diffusion-wave equation;
D O I：
10.1016/j.amc.2005.11.088
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new modification of the Adomian decomposition method is effectively implemented for solving fractional diffusion-wave equations that will facilitate the calculations, where the fractional derivative is based on Caputo definition. The proposed algorithm gives an analytical solution in the form of a convergent series with easily computable components. Numerical examples are given to show the application of the present algorithm. The new modification introduces a promising tool for many partial differential equations. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：92 / 97
页数：6
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