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The Numerical Analysis of Two-Sided Space-Fractional Wave Equation with Improved Moving Least-Square Ritz Method
Joint Authors
Cheng, Rongjun
Ge, Hongxia
Wu, Yong
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Cheng, Rongjun& Ge, Hongxia& Wu, Yong. 2016. The Numerical Analysis of Two-Sided Space-Fractional Wave Equation with Improved Moving Least-Square Ritz Method. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112241
Modern Language Association (MLA)
Cheng, Rongjun…[et al.]. The Numerical Analysis of Two-Sided Space-Fractional Wave Equation with Improved Moving Least-Square Ritz Method. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1112241
American Medical Association (AMA)
Cheng, Rongjun& Ge, Hongxia& Wu, Yong. The Numerical Analysis of Two-Sided Space-Fractional Wave Equation with Improved Moving Least-Square Ritz Method. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112241
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112241