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

Author

Listed:
  • 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 . 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, Hindawi, vol. 2013, pages 1-7, December.
    • Handle: RePEc:hin:jnljam:801395
    DOI: 10.1155/2013/801395
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    Cited by:

    1. Dubey, Ved Prakash & Kumar, Rajnesh & Kumar, Devendra, 2019. "Analytical study of fractional Bratu-type equation arising in electro-spun organic nanofibers elaboration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 762-772.
    2. Mirzaee, Farshid & Samadyar, Nasrin, 2019. "Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 344, pages 191-203.
    3. Zeid, Samaneh Soradi, 2019. "Approximation methods for solving fractional equations," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 171-193.

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