Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

被引：137
作者：
Jafari, Hossein [1 ]
Daftardar-Gejji, Varsha [1 ]
机构：
[1] Univ Poona, Dept Math, Pune 411007, Maharashtra, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 180卷 / 02期
关键词：
fractional partial differential equation; fractional diffusion equation; fractional wave equation; Adomian decomposition; Adomian polynomials; Caputo fractional derivative;
D O I：
10.1016/j.amc.2005.12.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Adomian decomposition method has been used to obtain solutions of linear/nonlinear fractional diffusion and wave equations. Some illustrative examples have been presented. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：488 / 497
页数：10
相关论文
共 20 条
[1]  
ABBOUI K, 1995, COMPUT APPL MATH, V29, P103
[2]  
Adomian G., 1994, SOLVING FRONTIER PRO
[3]   The decomposition method applied to systems of Fredholm integral equations of the second kind [J].
Babolian, E ;
Biazar, J ;
Vahidi, AR .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (02) :443-452
[4]   Solution of wave equation by Adomian decomposition method and the restrictions of the method [J].
Biazar, J ;
Islam, R .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :807-814
[5]   Solution of the system of ordinary differential equations by Adomian decomposition method [J].
Biazar, J ;
Babolian, E ;
Islam, R .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (03) :713-719
[6]   Solution of a system of Volterra integral equations of the first kind by Adomian method [J].
Biazar, J ;
Babolian, E ;
Islam, R .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 139 (2-3) :249-258
[7]   Adomian decomposition: a tool for solving a system of fractional differential equations [J].
Daftardar-Gejji, V ;
Jafari, H .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (02) :508-518
[8]  
Diethelm K., 1997, ELECTRON T NUMER ANA, V5, P1
[9]   Fractional-order diffusion-wave equation [J].
ElSayed, AMA .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1996, 35 (02) :311-322
[10]   A numerical solution of the Klein-Gordon equation and convergence of the decomposition method [J].
Kaya, D ;
El-Sayed, SM .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) :341-353
12