ON THE STABILITY CONDITIONS OF 2D TIME FRACTIONAL DIFFUSION EQUATION

ON THE STABILITY CONDITIONS OF 2D TFDE

  • Adel Rashed A. Ali Alsabbagh University of Baghdad
  • Esraa Abbas Al-taai
DOI: https://doi.org/10.29350/jops.2020.25.1.1015
Keywords: Fractional Time Diffusion Equation, Caputo Fractional Derivative, Finite difference, Multilevel, Stability Analysis

Abstract

The Caputo definition of fractional derivative has been employed for the time derivative for the two-dimensional time-fractional diffusion equation. The stability condition obtained by reformulation the classical multilevel technique on the finite difference scheme. A numerical example gives a good agreement with the theoretical result

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Published
2020-02-04
How to Cite
Alsabbagh, A. R. A. A., & Al-taai, E. A. (2020). ON THE STABILITY CONDITIONS OF 2D TIME FRACTIONAL DIFFUSION EQUATION . Al-Qadisiyah Journal of Pure Science, 25(1), math 11-15. https://doi.org/10.29350/jops.2020.25.1.1015
Issue
Vol 25 No 1 (2020)
Section
Mathematics

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