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Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations
Joint Authors
Yu, Zuguo
Shi, Long
Mao, Zhi
Xiao, Ai-Guo
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order α.
This approach is based on the finite difference in time and the global sinc collocation in space.
By utilizing the collocation technique and some properties of the sinc functions, the problem is reduced to the solution of a system of linear algebraic equations at each time step.
Stability and convergence of the proposed method are rigorously analyzed.
The numerical solution is of 3-α order accuracy in time and exponential rate of convergence in space.
Numerical experiments demonstrate the validity of the obtained method and support the obtained theoretical results.
American Psychological Association (APA)
Mao, Zhi& Xiao, Ai-Guo& Yu, Zuguo& Shi, Long. 2014. Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-479478
Modern Language Association (MLA)
Mao, Zhi…[et al.]. Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-479478
American Medical Association (AMA)
Mao, Zhi& Xiao, Ai-Guo& Yu, Zuguo& Shi, Long. Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-479478
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479478