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

2018 ◽  
Vol 11 (11) ◽  
pp. 1282-1293
Author(s):  
Muhammed Syam ◽  
Ibrahim Al-Subaihi
Keyword(s):  
Diffusion Equation ◽  
Numerical Method ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Time Fractional Diffusion Equation ◽  
Generalized Time

scholarly journals Solving Fractional Diffusion Equation via the Collocation Method Based on Fractional Legendre Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Muhammed Syam ◽  
Mohammed Al-Refai
Keyword(s):  
Diffusion Equation ◽  
Fractional Derivative ◽  
Collocation Method ◽  
Path Following ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Legendre Functions ◽  
Time Fractional Diffusion Equation ◽  
Path Following Methods ◽  
Generalized Time

A formulation of the fractional Legendre functions is constructed to solve the generalized time-fractional diffusion equation. The fractional derivative is described in the Caputo sense. The method is based on the collection Legendre and path following methods. Analysis for the presented method is given and numerical results are presented.

Sign in / Sign up

Export Citation Format

Share Document