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

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  • Mingxu Yi
  • Kangwen Sun
  • Jun Huang
  • Lifeng Wang

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.

Suggested Citation

  • Mingxu Yi & Kangwen Sun & Jun Huang & Lifeng Wang, 2013. "Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:801395
    DOI: 10.1155/2013/801395
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