An accurate numerical method for solving the generalized time-fractional diffusion equation
Volume 11, Issue 11, pp 1282--1293
http://dx.doi.org/10.22436/jnsa.011.11.08
Publication Date: September 06, 2018
Submission Date: June 10, 2018
Revision Date: July 04, 2018
Accteptance Date: July 20, 2018
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Authors
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.
Abstract
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.
Share and Cite
ISRP Style
Muhammed Syam, Ibrahim Al-Subaihi, An accurate numerical method for solving the generalized time-fractional diffusion equation, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 11, 1282--1293
AMA Style
Syam Muhammed, Al-Subaihi Ibrahim, An accurate numerical method for solving the generalized time-fractional diffusion equation. J. Nonlinear Sci. Appl. (2018); 11(11):1282--1293
Chicago/Turabian Style
Syam, Muhammed, Al-Subaihi, Ibrahim. "An accurate numerical method for solving the generalized time-fractional diffusion equation." Journal of Nonlinear Sciences and Applications, 11, no. 11 (2018): 1282--1293
Keywords
- Fractional-order Legendre function
- collocation method
- generalized time-fractional diffusion equation
MSC
- 34A08
- 34Bxx
- 35J40
- 47H10
- 65L05
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