New applications of Adomian decomposition method

被引:33
作者
El-Wakil, S. A. [1 ]
Abdou, M. A. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura, Egypt
关键词
D O I
10.1016/j.chaos.2005.12.037
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we have discussed a new application of Adomian decomposition method on nonlinear physical equations. The models of interest in physics are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of t are investigated. Numerical illustrations that include nonlinear physical models are investigated to show the pertinent features of the technique. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:513 / 522
页数:10
相关论文
共 23 条
[1]   Adomian decomposition method for solving the telegraph equation in charged particle transport [J].
Abdou, MA .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2005, 95 (03) :407-414
[2]   Stochastic contaminant transport equation in porous media [J].
Adomian, G ;
Serrano, SE .
APPLIED MATHEMATICS LETTERS, 1998, 11 (01) :53-55
[3]   ON THE ANALYTIC SOLUTION OF THE LANE-EMDEN EQUATION [J].
ADOMIAN, G ;
RACH, R ;
SHAWAGFEH, NT .
FOUNDATIONS OF PHYSICS LETTERS, 1995, 8 (02) :161-181
[4]  
Adomian G., 1994, FUNDAM THEOR PHYS
[5]   Dynamics of a strongly nonlocal reaction-diffusion population model [J].
Billingham, J .
NONLINEARITY, 2004, 17 (01) :313-346
[6]  
Debtnath L., 1997, NONLINEAR PARTIAL DI
[7]   A decomposition method for solving the nonlinear Klein-Gordon equation [J].
Deeba, EY ;
Khuri, SA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1996, 124 (02) :442-448
[8]  
Drazin P.G., 1989, SOLITONS INTRO
[9]  
ELWAKIL SA, IN PRESS APPL MATH C
[10]   Exact wave front solutions to two generalized coupled nonlinear physical equations [J].
Feng, X .
PHYSICS LETTERS A, 1996, 213 (3-4) :167-176