Stability analysis of finite difference schemes for two-dimensional advection-diffusion problems

1991 ◽  
Vol 13 (5) ◽  
pp. 579-597 ◽  
Author(s):  
Alain Rigal
Keyword(s):  
Stability Analysis ◽  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Two Dimensional ◽  
Advection Diffusion ◽  
Diffusion Problems

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

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