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Characteristics of the Differential Quadrature Method and Its Improvement
Joint Authors
Fangzong, Wang
Xiaobing, Liao
Xiong, Xie
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The differential quadrature method has been widely used in scientific and engineering computation.
However, for the basic characteristics of time domain differential quadrature method, such as numerical stability and calculation accuracy or order, it is still lack of systematic analysis conclusions.
In this paper, according to the principle of differential quadrature method, it has been derived and proved that the weighting coefficients matrix of differential quadrature method meets the important V-transformation feature.
Through the equivalence of the differential quadrature method and the implicit Runge-Kutta method, it has been proved that the differential quadrature method is A-stable and s-stage s-order method.
On this basis, in order to further improve the accuracy of the time domain differential quadrature method, a class of improved differential quadrature method of s-stage 2s-order have been proposed by using undetermined coefficients method and Padé approximations.
The numerical results show that the improved differential quadrature method is more precise than the traditional differential quadrature method.
American Psychological Association (APA)
Fangzong, Wang& Xiaobing, Liao& Xiong, Xie. 2015. Characteristics of the Differential Quadrature Method and Its Improvement. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074407
Modern Language Association (MLA)
Fangzong, Wang…[et al.]. Characteristics of the Differential Quadrature Method and Its Improvement. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074407
American Medical Association (AMA)
Fangzong, Wang& Xiaobing, Liao& Xiong, Xie. Characteristics of the Differential Quadrature Method and Its Improvement. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074407