scholarly journals An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

2005 ◽  
Vol 42 (5) ◽  
pp. 1862-1874 ◽  
Author(s):  
S. B. Yuste ◽  
L. Acedo
Keyword(s):  
Stability Analysis ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Von Neumann ◽  
Fractional Diffusion Equations ◽  
Neumann Type ◽  
Explicit Finite Difference ◽  
Explicit Finite Difference Method

scholarly journals Convergence and stability analysis of an explicit finite difference method for 2-dimensional reaction-diffusion equations

1994 ◽  
Vol 36 (2) ◽  
pp. 234-241 ◽  
Author(s):  
Nian Li ◽  
Joseph Steiner ◽  
Shimin Tang
Keyword(s):  
Stability Analysis ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Reaction Diffusion Equations ◽  
Conditional Convergence ◽  
Convergence And Stability ◽  
Explicit Finite Difference ◽  
Convergence And Stability Analysis ◽  
Explicit Finite Difference Method

AbstractThe convergence and stability analysis of a simple explicit finite difference method is studied in this paper. Conditional convergence and stability theorems for this method are given. We have also proved that this scheme is stable in a much stronger sense.

Sign in / Sign up

Export Citation Format

Share Document