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

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  • Qi Wei
  • Rongjun Cheng

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.

Suggested Citation

  • Qi Wei & Rongjun Cheng, 2014. "The Improved Moving Least-Square Ritz Method for the One-Dimensional Sine-Gordon Equation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, February.
    • Handle: RePEc:hin:jnlmpe:383219
    DOI: 10.1155/2014/383219
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