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

Qi Wei | Zendy; Rongjun Cheng | Zendy

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

Author(s) -

Qi Wei,

Rongjun Cheng

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/383219

Subject(s) - ritz method , mathematics , square (algebra) , mathematical analysis , sine , sine gordon equation , minification , field (mathematics) , displacement field , displacement (psychology) , geometry , mathematical optimization , physics , finite element method , boundary value problem , pure mathematics , nonlinear system , psychology , soliton , quantum mechanics , psychotherapist , thermodynamics

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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