The Improved Moving Least-Square Ritz Method for the One-Dimensional Sine-Gordon Equation

被引：8
作者：
Wei, Qi [1 ]
Cheng, Rongjun [1 ]
机构：
[1] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷
关键词：
ELEMENT-FREE GALERKIN; 2D FRACTURE PROBLEMS; NUMERICAL-SOLUTION; APPROXIMATION; SCHEME;
D O I：
10.1155/2014/383219
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Analysis of the one-dimensional sine-Gordon equation is performed using the improved moving least-square Ritz method (IMLS-Ritz method). The improved moving least-square approximation is employed to approximate the 1D displacement field. A system of discrete equations is obtained by application of the Ritz minimization procedure. The effectiveness and accuracy of the IMLS-Ritz method for the sine-Gordon equation are investigated by numerical examples in this paper.
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页数：10
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