An accurate numerical method for solving the generalized time-fractional diffusion equation

Syam, Muhammed ¹ ; Al-Subaihi, Ibrahim ²

¹ Department of Mathematical Sciences, United Arab Emirates University, Al-Ain, UAE
² Department of Mathematics, Taibah University, Al Madinah, Saudi Arabia

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 11, p. 1282-1293.

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.11.08

Classification : 34A08, 34Bxx, 35J40, 47H10, 65L05
Keywords: Fractional-order Legendre function, collocation method, generalized time-fractional diffusion equation

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