Solving one dimensional heat equation and groundwater flow modeling using finite difference method

This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for eac...

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Main Author:	Abd. Jalil, Nur Fariha
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf
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id	my-utm-ep.78324
record_format	uketd_dc
spelling	my-utm-ep.783242018-08-26T11:51:48Z Solving one dimensional heat equation and groundwater flow modeling using finite difference method 2014-01 Abd. Jalil, Nur Fariha QA Mathematics This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for each method has been developed and the solution of the problem is simplified using MATLAB software. The result obtained by the explicit method is given the most accurate and the best results compared to the Crank-Nicolson method and implicit method. 2014-01 Thesis http://eprints.utm.my/id/eprint/78324/ http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:80011 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 Abd. Jalil, Nur Fariha Solving one dimensional heat equation and groundwater flow modeling using finite difference method
description	This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for each method has been developed and the solution of the problem is simplified using MATLAB software. The result obtained by the explicit method is given the most accurate and the best results compared to the Crank-Nicolson method and implicit method.
format	Thesis
qualification_level	Master's degree
author	Abd. Jalil, Nur Fariha
author_facet	Abd. Jalil, Nur Fariha
author_sort	Abd. Jalil, Nur Fariha
title	Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_short	Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_full	Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_fullStr	Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_full_unstemmed	Solving one dimensional heat equation and groundwater flow modeling using finite difference method
title_sort	solving one dimensional heat equation and groundwater flow modeling using finite difference method
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/78324/1/NurFarihaAbdJalilMFS20141.pdf
_version_	1747817961435955200

Solving one dimensional heat equation and groundwater flow modeling using finite difference method

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