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.

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