Finite volume method for a Keller-Segel problem

In this paper, we are interested in the numerical simulation of the mathematical model of Keller-Segel Elliptic-Parabolic problem using finite volume scheme. The finite volume scheme is applied to the elliptic-parabolic model’s problem and we have shown under certain assumptions, the existence of...

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Main Authors:	Messikh, C, Chowdhury, Md. Sazzad Hossien, Guesmia, A, Berkane, A
Format:	Conference or Workshop Item
Language:	English English English
Published:	IOP Publishing 2018
Subjects:	QA297 Numerical Analysis
Online Access:	http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/7/61803-Finite%20volume%20method%20for%20a%20Kellar-Segel.pdf http://irep.iium.edu.my/61803/8/61803-Finite%20volume%20method%20for%20a%20Keller-Segel%20problem-SCOPUS.pdf http://irep.iium.edu.my/61803/19/61803_Finite%20volume%20method%20for%20a%20Keller-Segel%20problem_WoS.pdf

id	iium-61803
recordtype	eprints
spelling	iium-618032018-10-15T07:29:08Z http://irep.iium.edu.my/61803/ Finite volume method for a Keller-Segel problem Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A QA297 Numerical Analysis In this paper, we are interested in the numerical simulation of the mathematical model of Keller-Segel Elliptic-Parabolic problem using finite volume scheme. The finite volume scheme is applied to the elliptic-parabolic model’s problem and we have shown under certain assumptions, the existence of a unique and positive approximate solution. Moreover, under adequate regularity assumption of the exact solution, the finite volume scheme is the first order accurate. A good agreement between our numerical simulation and the theoretical results has been obtained. IOP Publishing 2018-01-02 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/61803/7/61803-Finite%20volume%20method%20for%20a%20Kellar-Segel.pdf application/pdf en http://irep.iium.edu.my/61803/8/61803-Finite%20volume%20method%20for%20a%20Keller-Segel%20problem-SCOPUS.pdf application/pdf en http://irep.iium.edu.my/61803/19/61803_Finite%20volume%20method%20for%20a%20Keller-Segel%20problem_WoS.pdf Messikh, C and Chowdhury, Md. Sazzad Hossien and Guesmia, A and Berkane, A (2018) Finite volume method for a Keller-Segel problem. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17), 8th–9th August 2017, Kuala Lumpur, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012015/pdf 10.1088/1742-6596/949/1/012015
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA297 Numerical Analysis
spellingShingle	QA297 Numerical Analysis Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A Finite volume method for a Keller-Segel problem
description	In this paper, we are interested in the numerical simulation of the mathematical model of Keller-Segel Elliptic-Parabolic problem using finite volume scheme. The finite volume scheme is applied to the elliptic-parabolic model’s problem and we have shown under certain assumptions, the existence of a unique and positive approximate solution. Moreover, under adequate regularity assumption of the exact solution, the finite volume scheme is the first order accurate. A good agreement between our numerical simulation and the theoretical results has been obtained.
format	Conference or Workshop Item
author	Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A
author_facet	Messikh, C Chowdhury, Md. Sazzad Hossien Guesmia, A Berkane, A
author_sort	Messikh, C
title	Finite volume method for a Keller-Segel problem
title_short	Finite volume method for a Keller-Segel problem
title_full	Finite volume method for a Keller-Segel problem
title_fullStr	Finite volume method for a Keller-Segel problem
title_full_unstemmed	Finite volume method for a Keller-Segel problem
title_sort	finite volume method for a keller-segel problem
publisher	IOP Publishing
publishDate	2018
url	http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/ http://irep.iium.edu.my/61803/7/61803-Finite%20volume%20method%20for%20a%20Kellar-Segel.pdf http://irep.iium.edu.my/61803/8/61803-Finite%20volume%20method%20for%20a%20Keller-Segel%20problem-SCOPUS.pdf http://irep.iium.edu.my/61803/19/61803_Finite%20volume%20method%20for%20a%20Keller-Segel%20problem_WoS.pdf
first_indexed	2023-09-18T21:27:39Z
last_indexed	2023-09-18T21:27:39Z
_version_	1777412299016896512

Finite volume method for a Keller-Segel problem

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