Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*

Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*

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 discontinu...

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Main Authors: Saad Mazen Georges Chamoun, Raafat Talhouk
Format: Article
Language:English
Published: EDP Sciences 2014-09-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201445013
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spelling doaj-4de5f0af3697469f947f232c2ee477452021-07-15T14:07:21ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-09-014512813710.1051/proc/201445013proc144513Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*Saad Mazen Georges Chamoun0Raafat Talhouk1Ecole centrale de Nantes, Laboratoire de Mathématiques Jean Leray and EDSTIM, CNRS UMR 6629Lebanese University, Laboratory of Mathematics-EDST and Faculty of Sciences IThis 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.http://dx.doi.org/10.1051/proc/201445013
collection DOAJ
language English
format Article
sources DOAJ
author Saad Mazen Georges Chamoun
Raafat Talhouk
spellingShingle Saad Mazen Georges Chamoun
Raafat Talhouk
Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
ESAIM: Proceedings and Surveys
author_facet Saad Mazen Georges Chamoun
Raafat Talhouk
author_sort Saad Mazen Georges Chamoun
title Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
title_short Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
title_full Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
title_fullStr Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
title_full_unstemmed Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions*
title_sort finite volume scheme for isotropic keller-segel model with general scalar diffusive functions*
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2014-09-01
description 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.
url http://dx.doi.org/10.1051/proc/201445013
work_keys_str_mv AT saadmazengeorgeschamoun finitevolumeschemeforisotropickellersegelmodelwithgeneralscalardiffusivefunctions
AT raafattalhouk finitevolumeschemeforisotropickellersegelmodelwithgeneralscalardiffusivefunctions
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