Application of FEM and FDM in solving 2D irregular geometry heat transfer problem

The study will focus on the application of finite element method (FEM) in solving two dimensional irregular geometry heat transfer problem. FEM is known as one of the numerical technique for finding approximate solutions to boundary value problems for differential equation. Therefore this method is...

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Main Author:	Ngarisan, Noor Syazana
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/53450/25/NoorSyazanaNgarisanMFS2014.pdf
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id	my-utm-ep.53450
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spelling	my-utm-ep.534502020-07-15T02:27:58Z Application of FEM and FDM in solving 2D irregular geometry heat transfer problem 2014-06 Ngarisan, Noor Syazana QA Mathematics The study will focus on the application of finite element method (FEM) in solving two dimensional irregular geometry heat transfer problem. FEM is known as one of the numerical technique for finding approximate solutions to boundary value problems for differential equation. Therefore this method is a perfect application to solve a parabolic partial differential equation such as heat equation that describes the distribution of heat in a given region over time. In order to minimize an error function and produce a stable solution, FEM uses variation method or also known as the calculus of variations. All the solutions to this method related to the given problem will be compared with the solution from another popular numerical method which is finite difference method (FDM). FDM is also very useful in approximating the solutions to differential equation. However the application is limited to regular geometry and simple irregular geometry problems. The comparison of the solutions from these two methods will confirm that FEM is a better choice in solving two dimensional irregular geometry problems involving heat transfer. 2014-06 Thesis http://eprints.utm.my/id/eprint/53450/ http://eprints.utm.my/id/eprint/53450/25/NoorSyazanaNgarisanMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85440 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 Ngarisan, Noor Syazana Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
description	The study will focus on the application of finite element method (FEM) in solving two dimensional irregular geometry heat transfer problem. FEM is known as one of the numerical technique for finding approximate solutions to boundary value problems for differential equation. Therefore this method is a perfect application to solve a parabolic partial differential equation such as heat equation that describes the distribution of heat in a given region over time. In order to minimize an error function and produce a stable solution, FEM uses variation method or also known as the calculus of variations. All the solutions to this method related to the given problem will be compared with the solution from another popular numerical method which is finite difference method (FDM). FDM is also very useful in approximating the solutions to differential equation. However the application is limited to regular geometry and simple irregular geometry problems. The comparison of the solutions from these two methods will confirm that FEM is a better choice in solving two dimensional irregular geometry problems involving heat transfer.
format	Thesis
qualification_level	Master's degree
author	Ngarisan, Noor Syazana
author_facet	Ngarisan, Noor Syazana
author_sort	Ngarisan, Noor Syazana
title	Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
title_short	Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
title_full	Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
title_fullStr	Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
title_full_unstemmed	Application of FEM and FDM in solving 2D irregular geometry heat transfer problem
title_sort	application of fem and fdm in solving 2d irregular geometry heat transfer problem
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/53450/25/NoorSyazanaNgarisanMFS2014.pdf
_version_	1747817558223880192

Application of FEM and FDM in solving 2D irregular geometry heat transfer problem

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