An accurate numerical method for solving the generalized time-fractional diffusion equation
Volume 11, Issue 11, pp 1282--1293
Publication Date: September 06, 2018
Submission Date: June 10, 2018
Revision Date: July 04, 2018
Accteptance Date: July 20, 2018
- 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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