Numerical solution of keller-segel equation using finite difference method and method of lines

Keller-Segel equation is a nonlinear partial differential equation (PDE) that modelled the movement of cells and organisms in response to chemical attractants, which is known as chemotaxis process. In this study, Keller-Segel (KS) equation is solved numerically by explicit finite difference method (...

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Main Author:	Mostakim, Marliah
Format:	Thesis
Language:	English
Published:	2019
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/102597/1/MarliahMostakimMFS2019.pdf.pdf
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spelling	my-utm-ep.1025972023-09-09T01:48:57Z Numerical solution of keller-segel equation using finite difference method and method of lines 2019 Mostakim, Marliah QA Mathematics Keller-Segel equation is a nonlinear partial differential equation (PDE) that modelled the movement of cells and organisms in response to chemical attractants, which is known as chemotaxis process. In this study, Keller-Segel (KS) equation is solved numerically by explicit finite difference method (FDM) and method of lines (MOL). The finite difference method is performed forward in time and centered in space meanwhile in the method of lines the solution will incorporate with Euler’s method. Results of numerical experiments are presented and the accuracy of the numerical scheme is investigated by comparing the results with the exact solutions. The computational experiment is conducted using MS Visual C++ and results are presented graphically by MATLAB software. The result from both numerical methods shows good agreement with the exact solutions. From the comparison, both methods are shown to be good numerical approximations as the results obtained show closeness to the exact solution. 2019 Thesis http://eprints.utm.my/102597/ http://eprints.utm.my/102597/1/MarliahMostakimMFS2019.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146319 masters Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mostakim, Marliah Numerical solution of keller-segel equation using finite difference method and method of lines
description	Keller-Segel equation is a nonlinear partial differential equation (PDE) that modelled the movement of cells and organisms in response to chemical attractants, which is known as chemotaxis process. In this study, Keller-Segel (KS) equation is solved numerically by explicit finite difference method (FDM) and method of lines (MOL). The finite difference method is performed forward in time and centered in space meanwhile in the method of lines the solution will incorporate with Euler’s method. Results of numerical experiments are presented and the accuracy of the numerical scheme is investigated by comparing the results with the exact solutions. The computational experiment is conducted using MS Visual C++ and results are presented graphically by MATLAB software. The result from both numerical methods shows good agreement with the exact solutions. From the comparison, both methods are shown to be good numerical approximations as the results obtained show closeness to the exact solution.
format	Thesis
qualification_level	Master's degree
author	Mostakim, Marliah
author_facet	Mostakim, Marliah
author_sort	Mostakim, Marliah
title	Numerical solution of keller-segel equation using finite difference method and method of lines
title_short	Numerical solution of keller-segel equation using finite difference method and method of lines
title_full	Numerical solution of keller-segel equation using finite difference method and method of lines
title_fullStr	Numerical solution of keller-segel equation using finite difference method and method of lines
title_full_unstemmed	Numerical solution of keller-segel equation using finite difference method and method of lines
title_sort	numerical solution of keller-segel equation using finite difference method and method of lines
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2019
url	http://eprints.utm.my/102597/1/MarliahMostakimMFS2019.pdf.pdf
_version_	1783729189638111232

Numerical solution of keller-segel equation using finite difference method and method of lines

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