The Finite Volume Method Applied to The Patlak-Keller-Segel Chemotaxis Model in a General Mesh

Ouafa Soualhi, Mohamed Rhoudaf

2018

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 Harvard Style

Soualhi O. and Rhoudaf M. (2018). 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 - Volume 1: ICCSRE, ISBN 978-989-758-431-2, pages 42-49. DOI: 10.5220/0009775800420049


in Bibtex Style

@conference{iccsre18,
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 - Volume 1: ICCSRE,},
year={2018},
pages={42-49},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009775800420049},
isbn={978-989-758-431-2},
}


in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference of Computer Science and Renewable Energies - Volume 1: 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 - 2018
SP - 42
EP - 49
DO - 10.5220/0009775800420049