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Authors: Ouafa Soualhi and Mohamed Rhoudaf

Affiliation: Department of Mathematics, Moulay Ismail University, Meknes, Morocco

Keyword(s): Finite volume methode, Chemotaxis, Paltak Keller-Segel(PKS).

Abstract: In this paper, we present the discrete duality finite volume method (DDFV) applied to a model of (Patlak) Keller-Segel modeling chemosensitive movements, this model consists of a coupled system of elliptic and parabolic equations. Firstly, we prove the existence and uniqueness of the numerical solution to the proposed scheme. Next, numerical simulations are performed to verify accuracy.

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Paper citation in several formats:
Soualhi, O. and Rhoudaf, M. (2020). The Finite Volume Method Applied to The Patlak-Keller-Segel Chemotaxis Model in a General Mesh. In Proceedings of the 1st International Conference of Computer Science and Renewable Energies - ICCSRE; ISBN 978-989-758-431-2, SciTePress, pages 42-49. DOI: 10.5220/0009775800420049

@conference{iccsre20,
author={Ouafa Soualhi. and Mohamed Rhoudaf.},
title={The Finite Volume Method Applied to The Patlak-Keller-Segel Chemotaxis Model in a General Mesh},
booktitle={Proceedings of the 1st International Conference of Computer Science and Renewable Energies - ICCSRE},
year={2020},
pages={42-49},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009775800420049},
isbn={978-989-758-431-2},
}

TY - CONF

JO - Proceedings of the 1st International Conference of Computer Science and Renewable Energies - ICCSRE
TI - The Finite Volume Method Applied to The Patlak-Keller-Segel Chemotaxis Model in a General Mesh
SN - 978-989-758-431-2
AU - Soualhi, O.
AU - Rhoudaf, M.
PY - 2020
SP - 42
EP - 49
DO - 10.5220/0009775800420049
PB - SciTePress