The Improved Moving Least-Square Ritz Method for the One-Dimensional Sine-Gordon Equation
The Improved Moving Least-Square Ritz Method for the One-Dimensional Sine-Gordon Equation
复制标题
DOI：
10.1155/2014/383219
复制
发表时间：
2014-02
影响因子：
--
通讯作者：
Qi Wei;R. Cheng
中科院分区：
文献类型：
--
作者：
Qi Wei;R. Cheng
使用改进的移动最小二乘 Ritz 方法（IMLS-Ritz 方法）对一维正弦-Gordon 方程进行分析。采用改进的移动最小二乘近似来近似一维位移场。通过应用 Ritz 最小化过程获得离散方程组。本文通过数值算例研究了IMLS-Ritz方法求解正弦-Gordon方程的有效性和准确性。
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.