the numerical analysis of two-sided space-fractional wave equation with improved moving least-square ritz method

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ID: 170801
2016
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Abstract
A numerical analysis of the space-fractional wave equation is carried out by the improved moving least-square Ritz (IMLS-Ritz) method. The trial functions for the space-fractional wave equation are constructed by the IMLS approximation. By the Galerkin weak form, the energy functional is formulated. Employing the Ritz minimization procedure, the final algebraic equations system is obtained. In this numerical analysis, the applicability and efficiency of the IMLS-Ritz method are examined by some example problems. Comparing the numerical results with the analytical solutions, the stability and accuracy of the IMLS-Ritz method are also presented.
Reference Key
cheng2016mathematicalthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Rongjun Cheng;Hongxia Ge;Yong Wu
Journal journal of power sources
Year 2016
DOI
10.1155/2016/4893724
URL
http://dx.doi.org/10.1155/2016/4893724
Keywords
civil engineering (general)mathematics engineering (general)

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