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.

引用

页数：10

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