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

Qi Wei and Rongjun Cheng

Mathematical Problems in Engineering, 2014, vol. 2014, 1-10

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:383219

DOI: 10.1155/2014/383219

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