Solving damped wave equation using finite difference method and interpolation using cubic B-spline

Damped wave equations have been used particularly in the natural sciences and engineering disciplines. The purpose of this study is to apply the technique of finite difference and cubic B-spline interpolation to solve one dimensional damped wave equation with Dirichlet boundary conditions. In this s...

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Main Author:	Arzmi, Nur Farahim
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/53502/25/NurFarahimArzmiMFS2014.pdf
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id	my-utm-ep.53502
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spelling	my-utm-ep.535022020-07-16T06:55:03Z Solving damped wave equation using finite difference method and interpolation using cubic B-spline 2014-06 Arzmi, Nur Farahim QA Mathematics Damped wave equations have been used particularly in the natural sciences and engineering disciplines. The purpose of this study is to apply the technique of finite difference and cubic B-spline interpolation to solve one dimensional damped wave equation with Dirichlet boundary conditions. In this study, the accuracy of numerical methods are compared with exact solution by computing their absolute error and relative error. The computational experiments are conducted using Matlab 2008 and visualisation using Microsoft Excel 2010. As the result, finite difference method and cubic B-spline interpolation are found to give good approximation in solving damped wave equation. In addition, the smaller time step size, T gives better approximations for both finite difference and cubic B-spline interpolation. 2014-06 Thesis http://eprints.utm.my/id/eprint/53502/ http://eprints.utm.my/id/eprint/53502/25/NurFarahimArzmiMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:84211 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 Arzmi, Nur Farahim Solving damped wave equation using finite difference method and interpolation using cubic B-spline
description	Damped wave equations have been used particularly in the natural sciences and engineering disciplines. The purpose of this study is to apply the technique of finite difference and cubic B-spline interpolation to solve one dimensional damped wave equation with Dirichlet boundary conditions. In this study, the accuracy of numerical methods are compared with exact solution by computing their absolute error and relative error. The computational experiments are conducted using Matlab 2008 and visualisation using Microsoft Excel 2010. As the result, finite difference method and cubic B-spline interpolation are found to give good approximation in solving damped wave equation. In addition, the smaller time step size, T gives better approximations for both finite difference and cubic B-spline interpolation.
format	Thesis
qualification_level	Master's degree
author	Arzmi, Nur Farahim
author_facet	Arzmi, Nur Farahim
author_sort	Arzmi, Nur Farahim
title	Solving damped wave equation using finite difference method and interpolation using cubic B-spline
title_short	Solving damped wave equation using finite difference method and interpolation using cubic B-spline
title_full	Solving damped wave equation using finite difference method and interpolation using cubic B-spline
title_fullStr	Solving damped wave equation using finite difference method and interpolation using cubic B-spline
title_full_unstemmed	Solving damped wave equation using finite difference method and interpolation using cubic B-spline
title_sort	solving damped wave equation using finite difference method and interpolation using cubic b-spline
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/53502/25/NurFarahimArzmiMFS2014.pdf
_version_	1747817567543623680

Solving damped wave equation using finite difference method and interpolation using cubic B-spline

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