VARIATIONAL ITERATION METHOD FOR CONSERVATIVE OSCILLATORS WITH COMPLICATED NONLINEARITIES

被引：2
|
作者：
Chen, Y. M. [1 ]
Meng, G. [1 ]
Liu, J. K. [2 ]
机构：
[1] Shanghai Jiao Tong Univ, State Key Lab Mech Syst & Vibrat, Shanghai 200240, Peoples R China
[2] Sun Yat Sen Univ, Dept Mech, Guangzhou 510275, Guangdong, Peoples R China
来源：
MATHEMATICAL & COMPUTATIONAL APPLICATIONS | 2010年 / 15卷 / 05期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Variational iteration method; complicated nonlinearity; Fourier series expansion; DIFFERENTIAL-EQUATIONS;
D O I：
10.3390/mca15050802
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The variational iteration method is employed to solve conservative oscillator containing complicated nonlinearities. In order to expand the nonlinear terms into truncated Fourier series, an approach of undetermined coefficient is proposed. Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion.
引用
收藏
页码：802 / 809
页数：8
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