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


Muhammed Syam - Department of Mathematical Sciences, United Arab Emirates University, Al-Ain, UAE. Ibrahim Al-Subaihi - 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.