The Numerical Analysis of Two-Sided Space-Fractional Wave Equation with Improved Moving Least-Square Ritz Method

被引：3

作者：

Cheng, Rongjun ^{[1
]}

Ge, Hongxia ^{[1
]}

Wu, Yong ^{[2
]}

机构：

[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China

[2] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2016年 / 2016卷

关键词：

ELEMENT-FREE GALERKIN; FREE METHOD BEFM; DIFFUSION-EQUATIONS; DIFFERENCE-METHODS; APPROXIMATIONS; DERIVATIVES;

D O I：

10.1155/2016/4893724

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：9

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