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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2011

Finite volume methods for degenerate chemotaxis model

Résumé

A finite volume method for solving the degenerate chemotaxis model is presented, along with numerical examples. This model consists of a degenerate parabolic convection-diffusion PDE for the density of the cell-population coupled to a parabolic PDE for the chemoattractant concentration. It is shown that discrete solutions exist, and the scheme converges.

Dates et versions

hal-01737856 , version 1 (19-03-2018)

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Boris Andreianov, Mostafa Bendahmane, Mazen Saad. Finite volume methods for degenerate chemotaxis model. Journal of Computational and Applied Mathematics, 2011, 235 (14), pp.4015 - 4031. ⟨10.1016/j.cam.2011.02.023⟩. ⟨hal-01737856⟩
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