Stability analysis of finite difference schemes for an advection diffusion equation

Authors

  • TMAK Azad Department of Computer Science & Engineering, University of Liberal Arts Bangladesh, Dhaka-1209
  • LS Andallah Department of Mathematics, Jahangirnagar University, Savar, Dhaka-1342

DOI:

https://doi.org/10.3329/bjsr.v29i2.32331

Keywords:

Advection diffusion equation, Finite difference schemes, Stability condition

Abstract

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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Author Biography

TMAK Azad, Department of Computer Science & Engineering, University of Liberal Arts Bangladesh, Dhaka-1209



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Published

2017-05-04

How to Cite

Azad, T., & Andallah, L. (2017). Stability analysis of finite difference schemes for an advection diffusion equation. Bangladesh Journal of Scientific Research, 29(2), 143–151. https://doi.org/10.3329/bjsr.v29i2.32331

Issue

Vol. 29 No. 2 (2016)

Section

Articles