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A Numerical Solution to Fractional Diffusion Equation for Force-Free Case

Author

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  • O. Tasbozan
  • A. Esen
  • N. M. Yagmurlu
  • Y. Ucar

Abstract

A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline functions to solve fractional diffusion equation for force-free case formulated with Riemann-Liouville operator. Some numerical examples of interest are provided to show the accuracy of the method. A comparison between exact analytical solution and a numerical one has been made.

Suggested Citation

  • O. Tasbozan & A. Esen & N. M. Yagmurlu & Y. Ucar, 2013. "A Numerical Solution to Fractional Diffusion Equation for Force-Free Case," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, May.
    • Handle: RePEc:hin:jnlaaa:187383
    DOI: 10.1155/2013/187383
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    Cited by:

    1. Sene, Ndolane, 2020. "Second-grade fluid model with Caputo–Liouville generalized fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    2. Sene, Ndolane & Abdelmalek, Karima, 2019. "Analysis of the fractional diffusion equations described by Atangana-Baleanu-Caputo fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 158-164.

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