Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets
Joint Authors
Huang, Jun
Yi, Mingxu
Sun, Kangwen
Wang, Lifeng
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type.
The CAS wavelets operational matrix of fractional order integration is derived.
A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations.
The solution of this system gives the approximation solution for the truncated limited 2k(2M+1).
The convergence and error estimation of CAS wavelets are also given.
Two examples are included to demonstrate the validity and applicability of the approach.
American Psychological Association (APA)
Yi, Mingxu& Sun, Kangwen& Huang, Jun& Wang, Lifeng. 2013. Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-499115
Modern Language Association (MLA)
Yi, Mingxu…[et al.]. Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-499115
American Medical Association (AMA)
Yi, Mingxu& Sun, Kangwen& Huang, Jun& Wang, Lifeng. Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-499115
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499115