The Adomian decomposition method for solving partial differential equations of fractal order in finite domains

被引：186

作者：

El-Sayed, A. M. A. ^{[1
]}

Gaber, M. ^{[1
]}

机构：

[1] Univ Alexandria, Fac Sci, Alexandria, Egypt

来源：

PHYSICS LETTERS A | 2006年 / 359卷 / 03期

关键词：

Adomian decomposition method; partial differential equations of fractional order;

D O I：

10.1016/j.physleta.2006.06.024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Adomian decomposition method has been successively used to find the explicit and numerical solutions of the time fractional partial differential equations. A different examples of special interest with fractional time and space derivatives of order alpha, 0 <alpha <= 1 are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of a are shown graphically for some examples. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：175 / 182

页数：8

共 26 条

[1] A NEW APPROACH TO THE HEAT-EQUATION - AN APPLICATION OF THE DECOMPOSITION METHOD [J].