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...
| Main Authors: | , |
|---|---|
| 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 |
| Summary: | 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. |
|---|---|
| ISSN: | 2267-3059 |