Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-07
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The second-kind Chebyshev wavelets collocation method is applied for solving a class of time-fractional diffusion-wave equation.
Fractional integral formula of a single Chebyshev wavelet in the Riemann-Liouville sense is derived by means of shifted Chebyshev polynomials of the second kind.
Moreover, convergence and accuracy estimation of the second-kind Chebyshev wavelets expansion of two dimensions are given.
During the process of establishing the expression of the solution, all the initial and boundary conditions are taken into account automatically, which is very convenient for solving the problem under consideration.
Based on the collocation technique, the second-kind Chebyshev wavelets are used to reduce the problem to the solution of a system of linear algebraic equations.
Several examples are provided to confirm the reliability and effectiveness of the proposed method.
American Psychological Association (APA)
Zhou, Fengying& Xu, Xiaoyong. 2017. Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1123082
Modern Language Association (MLA)
Zhou, Fengying& Xu, Xiaoyong. Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method. Advances in Mathematical Physics No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1123082
American Medical Association (AMA)
Zhou, Fengying& Xu, Xiaoyong. Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1123082
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123082