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Solving the time-fractional diffusion equation via Sinc–Haar collocation method

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  • Pirkhedri, A.
  • Javadi, H.H.S.

Abstract

The present study investigates the Sinc–Haar collocation method for the solution of the time-fractional diffusion equation. The advantages of this technique are that not only the convergence rate of Sinc approximation is exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. The effectiveness of the proposed method is examined by comparing the numerical results with the exact solutions.

Suggested Citation

  • Pirkhedri, A. & Javadi, H.H.S., 2015. "Solving the time-fractional diffusion equation via Sinc–Haar collocation method," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 317-326.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:317-326
    DOI: 10.1016/j.amc.2014.12.110
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    References listed on IDEAS

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    1. Ahmad, Wajdi M. & El-Khazali, Reyad, 2007. "Fractional-order dynamical models of love," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1367-1375.
    2. Razzaghi, M. & Ordokhani, Y., 2001. "Solution of differential equations via rationalized Haar functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 56(3), pages 235-246.
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    Cited by:

    1. Gholami, Saeid & Babolian, Esmail & Javidi, Mohammad, 2019. "Fractional pseudospectral integration/differentiation matrix and fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 314-327.
    2. Sowa, Marcin, 2018. "Application of SubIval in solving initial value problems with fractional derivatives," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 86-103.

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