A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends

被引：40
|
作者：
Ray, Santanu Saha [1 ]
机构：
[1] Heritage Inst Technol, Dept Math, Kolkata 700107, W Bengal, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 202卷 / 02期
关键词：
Riemann-Liouville fractional derivative; fractional order diffusion equation; Adomian decomposition method; fourier cosine series; generalized cosine function;
D O I：
10.1016/j.amc.2008.02.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents the new approach for the solution of the space fractional diffusion equation defined infinite domain by Adomian decomposition method (ADM). A typical example of special interest with fractional space derivative of order alpha, 1 < alpha <= 2 is considered in the present analysis and solved by ADM after expressing the initial condition as Fourier series. The explicit solution of the space fractional diffusion equation has been presented in the closed form and then the numerical solution has been represented graphically. The behaviour of Adomian solutions and the effects of different values of a are shown graphically. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：544 / 549
页数：6
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