Finite volume discretisation for the one-dimensional convection diffusion-dissipation equation

Authors

  • Bienvenu ONDAMI Université Marien NGOUABI, Brazzaville, CONGO

DOI:

https://doi.org/10.14419/ijamr.v5i4.6752

Published:

2016-11-22

Keywords:

Convection, diffusion, dissipation, finite volume method, method of lines.

Abstract

This paper is devoted to analysis of a finite volume scheme for a one-dimensional convection-diffusion-dissipation equation having application in pollution of water table. We analyse a scheme corresponding to a semi-descretization, also called method of lines. Results of umerical experiments using this approach are reported.

References

[1] J. Bonazebi Yindoula, P. Youssouf, G. Bissanga, F. Bassono, B. Some, “Application of the Adomian decomposition method and Laplace transform method to solving the convection diffusion-dissipation equationâ€, International Journal of Applied Mathematical Research, Vol.3, No.1, (2014), pp.30-35.
[2] R. Eymard, T. Gallouet, R. Herbin “The finite volume methodsâ€, ¨ P.G. Ciarlet and J.L. Lions, editors, Techniques of Scientific Computing, Handbook of Numerical Analysis, VII, III, (2000), pp.713-1020.
[3] S. Hamdi, W. E. Schiesser, G. W, Griffiths, “Method of linesâ€, Scholarpedia, 2(7):2859, (2009).

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