An accurate numerical method for solving the generalized time-fractional diffusion equation
- Department of Mathematical Sciences, United Arab Emirates University, Al-Ain, UAE.
- Department of Mathematics, Taibah University, Al Madinah, Saudi Arabia.
In this paper, a formulation for the fractional Legendre functions is
constructed to solve a class of time-fractional diffusion equation. The
fractional derivative is described in the Caputo sense. The method is based
on the collection Legendre. Analysis for the presented method is given and
numerical results are presented.
- Fractional-order Legendre function
- collocation method
- generalized time-fractional diffusion equation
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