scholarly journals Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

2017 ◽  
Vol 55 (2) ◽  
pp. 1057-1079 ◽  
Author(s):  
Martin Stynes ◽  
Eugene O'Riordan ◽  
José Luis Gracia
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Diffusion Equation ◽  
Error Analysis ◽  
Difference Method ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Graded Meshes ◽  
Time Fractional Diffusion Equation

scholarly journals Numerical Solution of Stochastic Generalized Fractional Diffusion Equation by Finite Difference Method

2018 ◽  
Vol 23 (4) ◽  
pp. 53 ◽  
Author(s):  
Amaneh Sepahvandzadeh ◽  
Bahman Ghazanfari ◽  
Nader Asadian
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Diffusion Equation ◽  
Numerical Solution ◽  
Difference Method ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Mean Square ◽  
Numerical Examples ◽  
Mean Square Convergence

The present study aimed at solving the stochastic generalized fractional diffusion equation (SGFDE) by means of the random finite difference method (FDM). Moreover, the conditions of mean square convergence of the numerical solution are studied and numerical examples are presented to demonstrate the validity and accuracy of the method.

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