Variational iteration method for solving multispecies Lotka-Volterra equations

被引：43
作者：
Batiha, B. [1 ]
Noorani, M. S. M. [1 ]
Hashim, I. [1 ]
机构：
[1] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 7-8期
关键词：
variational iteration method; Adomian decomposition method; fourth-order Runge-Kutta method; Lotka-Volterra equations;
D O I：
10.1016/j.camwa.2006.12.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper applies the variational iteration method to multispecies Lotka-Volterra equations. Comparisons with the Adomian decomposition and the fourth-order Runge-Kutta methods show that the variational iteration method is a powerful method for nonlinear equations. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：903 / 909
页数：7
相关论文
共 22 条
[1]   Variational iteration method for solving Burger's and coupled Burger's equations [J].
Abdou, MA ;
Soliman, AA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) :245-251
[2]   The solution of nonlinear coagulation problem with mass loss [J].
Abulwafa, EM ;
Abdou, MA ;
Mahmoud, AA .
CHAOS SOLITONS & FRACTALS, 2006, 29 (02) :313-330
[3]  
Adomian G., 1994, SOLVING FRONTIER PRO
[4]  
[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.
[5]  
[Anonymous], 1998, COMMUN NONLINEAR SCI, DOI DOI 10.1016/S1007-5704(98)90046-6
[6]  
Bildik N, 2006, INT J NONLIN SCI NUM, V7, P65
[7]   An algorithm for Adomian decomposition method [J].
Chen, WH ;
Lu, ZY .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (01) :221-235
[8]  
He J H, 2006, THESIS VERLAG INTERN
[9]   Variational iteration method for autonomous ordinary differential systems [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123
[10]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
123