Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets. (2nd December 2013)

• Record Type: Journal Article
• Authors: Yi, Mingxu; Sun, Kangwen; Huang, Jun; Wang, Lifeng
• Other Names: Hu Ning Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-12-02
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/801395
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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 2 k ( 2 M + 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.