The Numerical Analysis of Two-Sided Space-Fractional Wave Equation with Improved Moving Least-Square Ritz Method-Reference-Cited by-同舟云学术

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

Published:2016 Issue: Volume:2016 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Cheng Rongjun¹,Ge Hongxia¹,Wu Yong²

Affiliation:

1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

2. Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China

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.

Funder

K. C. Wong Magna Fund in Ningbo University, China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2016/4893724.pdf

Reference58 articles.

1. The random walk's guide to anomalous diffusion: a fractional dynamics approach

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