Solving two-dimensional groundwater flow equation using alternating direction implicit method

Groundwater model can be described as a mathematical model and the equation of groundwater is governed by partial differential equation. In order to solve the groundwater flow equation, numerical method such that Finite Difference Method (FDM) is used. In this research, a two-dimensional transient g...

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Main Author:	Ahmad Nordin, Norain
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf
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spelling	my-utm-ep.534602020-07-15T03:51:45Z Solving two-dimensional groundwater flow equation using alternating direction implicit method 2014-06 Ahmad Nordin, Norain QA Mathematics Groundwater model can be described as a mathematical model and the equation of groundwater is governed by partial differential equation. In order to solve the groundwater flow equation, numerical method such that Finite Difference Method (FDM) is used. In this research, a two-dimensional transient groundwater flow equation for a confined, nonleaky, and homogeneous with mixed boundary conditions is solved using Alternating Direction Implicit (ADI) method where ADI method is one of the FDM. The algorithm of ADI method has been developed for three different types of boundary conditions that is Dirichlet condition, Neuman condition and Mixed condition. The transient groundwater flow equation has been derived and was solved using ADI method by Matlab software. Then, the results obtained were compared to analytical solution. Since the solutions from numerical method provide the small error when compared to the analytical solutions, it therefore can be concluded that ADI method provides good approximations in solving two-dimensional groundwater transient flow problem. 2014-06 Thesis http://eprints.utm.my/id/eprint/53460/ http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86587 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Ahmad Nordin, Norain Solving two-dimensional groundwater flow equation using alternating direction implicit method
description	Groundwater model can be described as a mathematical model and the equation of groundwater is governed by partial differential equation. In order to solve the groundwater flow equation, numerical method such that Finite Difference Method (FDM) is used. In this research, a two-dimensional transient groundwater flow equation for a confined, nonleaky, and homogeneous with mixed boundary conditions is solved using Alternating Direction Implicit (ADI) method where ADI method is one of the FDM. The algorithm of ADI method has been developed for three different types of boundary conditions that is Dirichlet condition, Neuman condition and Mixed condition. The transient groundwater flow equation has been derived and was solved using ADI method by Matlab software. Then, the results obtained were compared to analytical solution. Since the solutions from numerical method provide the small error when compared to the analytical solutions, it therefore can be concluded that ADI method provides good approximations in solving two-dimensional groundwater transient flow problem.
format	Thesis
qualification_level	Master's degree
author	Ahmad Nordin, Norain
author_facet	Ahmad Nordin, Norain
author_sort	Ahmad Nordin, Norain
title	Solving two-dimensional groundwater flow equation using alternating direction implicit method
title_short	Solving two-dimensional groundwater flow equation using alternating direction implicit method
title_full	Solving two-dimensional groundwater flow equation using alternating direction implicit method
title_fullStr	Solving two-dimensional groundwater flow equation using alternating direction implicit method
title_full_unstemmed	Solving two-dimensional groundwater flow equation using alternating direction implicit method
title_sort	solving two-dimensional groundwater flow equation using alternating direction implicit method
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf
_version_	1747817560690130944

Solving two-dimensional groundwater flow equation using alternating direction implicit method

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