The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation

1984 ◽  
Vol 4 (9) ◽  
pp. 853-897 ◽  
Author(s):  
A. C. Hindmarsh ◽  
P. M. Gresho ◽  
D. F. Griffiths
Keyword(s):  
Finite Difference ◽  
Diffusion Equation ◽  
Time Integration ◽  
Finite Difference Approximations ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Difference Approximations ◽  
The Stability

scholarly journals Stability analysis of finite difference schemes for an advection diffusion equation

2017 ◽  
Vol 29 (2) ◽  
pp. 143-151 ◽  
Author(s):  
TMAK Azad ◽  
LS Andallah
Keyword(s):  
Stability Analysis ◽  
Finite Difference ◽  
Diffusion Equation ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Time Step ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
The Stability ◽  
Stability Results

The paper studies stability analysis for two standard finite difference schemes FTBSCS (forward time backward space and centered space) and FTCS (forward time and centered space). One-dimensional advection diffusion equation is solved by using the schemes with appropriate initial and boundary conditions. Numerical experiments are performed to verify the stability results obtained in this study. It is found that FTCS scheme gives better point-wise solutions than FTBSCS in terms of time step selection.Bangladesh J. Sci. Res. 29(2): 143-151, December-2016

Sign in / Sign up

Export Citation Format

Share Document