Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets

Mingxu Yi, Kangwen Sun, Jun Huang and Lifeng Wang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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 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.

Date: 2013
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https://doi.org/10.1155/2013/801395

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:801395

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