Geodesic
Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions
Georges Chamoun Saad Mazen1 ; Talhouk Raafat2
1 Ecole centrale de Nantes, Laboratoire de Mathématiques Jean Leray and EDSTIM, CNRS UMR 6629, 1 rue de la Noé, 44321 Nantes, France.
2 Lebanese University, Laboratory of Mathematics-EDST and Faculty of Sciences I, Hadath, Liban.
ESAIM. Proceedings, Tome 45 (2014), pp. 128-137.

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This paper is devoted to the numerical analysis of a modified Keller-Segel model consisting of diffusion and chemotaxis with volume filling effect. Firstly, a finite volume scheme is generalized to the case of a Keller-Segel model allowing heterogeneities and discontinuities in the diffusion coefficients. For that, we start with the derivation of the discrete problem and then we establish a convergence result of the discrete solution to a weak solution of the continuous model. Finally, numerical tests illustrate the behavior of the solutions of this generalized numerical scheme.
DOI : 10.1051/proc/201445013

Georges Chamoun Saad Mazen 1 ; Talhouk Raafat 2

1 Ecole centrale de Nantes, Laboratoire de Mathématiques Jean Leray and EDSTIM, CNRS UMR 6629, 1 rue de la Noé, 44321 Nantes, France.
2 Lebanese University, Laboratory of Mathematics-EDST and Faculty of Sciences I, Hadath, Liban. 
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     title = {Finite volume scheme for isotropic {Keller-Segel} model with general scalar diffusive functions},
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Georges Chamoun Saad Mazen; Talhouk Raafat. Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions. ESAIM. Proceedings, Tome 45 (2014), pp. 128-137. doi : 10.1051/proc/201445013. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445013/

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