Coupling technique of variational iteration and homotopy perturbation methods for nonlinear matrix differential equations

Authors:
Shu-Li Mei;Sen-Wen Zhang
Affiliations:
College of Information and Electrical Engineering, China Agricultural University, Beijing 100083, PR China;The Institute of Applied Mechanics, Jinan University, Guangzhou 510632, PR China
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 4
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Abstract

The variational iteration method proposed by Ji-Huan He is a new analytical method to solve nonlinear equations. This paper applies the method to search for exact analytical solutions of linear differential equations with constant coefficients. Furthermore, based on the precise integration method, a coupling technique of the variational iteration method and homotopy perturbation method is proposed to solve nonlinear matrix differential equations. A dynamic system and Burgers equation are taken as examples to illustrate its effectiveness and convenience.