ON THE STABILITY CONDITIONSOF 2D TIME FRACTIONAL DIFFUSION EQUATION

Authors

Esraa Abbas Al-Taai, University of Baghdad, Baghdad, IraqFollow
Adel Rashed A. Ali, Department of Mathematics, College of Education for Pure Science (Ibn al-Haitham), University of Baghdad, Baghdad, IraqFollow

Document Type

Article

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

Keywords

Fractional Time Diffusion Equation, Caputo Fractional Derivative, Finite difference, Multilevel, Stability Analysis

Recommended Citation

Al-Taai, Esraa Abbas and Ali, Adel Rashed A. (2020) "ON THE STABILITY CONDITIONSOF 2D TIME FRACTIONAL DIFFUSION EQUATION," Al-Qadisiyah Journal of Pure Science: Vol. 25 : No. 1 , Article 2.
Available at: https://doi.org/10.29350/2411-3514.1207