Numerical solutions of nonlinear evolution equations using variational iteration method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:207

Article

Soliman, A. A. ; Abdou, M. A.

关键词: variational iteration method;    nonlinear partial differential equations;    lagrange multiplier;   

DOI  :  10.1016/j.cam.2006.07.016

来源: Elsevier

【 摘 要 】

The variational iteration method is used to solve three kinds of nonlinear partial differential equations, coupled nonlinear reaction diffusion equations, Hirota-Satsuma coupled KdV system and Drinefel'd-Sokolov-Wilson equations. Numerical solutions obtained by the variational iteration method are compared with the exact solutions, revealing that the obtained solutions are of high accuracy. He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomial in Adomian method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics. (C) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free