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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
http://eprints.utm.my/id/eprint/53460/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86587
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spelling my.utm.534602020-07-15T03:51:45Z http://eprints.utm.my/id/eprint/53460/ Solving two-dimensional groundwater flow equation using alternating direction implicit method 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 NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf Ahmad Nordin, Norain (2014) Solving two-dimensional groundwater flow equation using alternating direction implicit method. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86587
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
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
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
publishDate 2014
url http://eprints.utm.my/id/eprint/53460/25/NorainAhmadNordinMFS2014.pdf
http://eprints.utm.my/id/eprint/53460/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:86587
_version_ 1674066168725372928
score 13.211869

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