Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods

A system of nonlinear equations is a well-known problem in many fields of science and engineering. There may have no solution or multiple solutions for the systems. This dissertation is aimed to solve a system of nonlinear equations using combination of Newton, conjugate gradient and quadrature meth...

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Main Author:	Zulkefli, Nor Afifah Hanim
Format:	Thesis
Language:	English
Published:	2013
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/33272/1/NorAfifahHanimMFS2013.pdf
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id	my-utm-ep.33272
record_format	uketd_dc
spelling	my-utm-ep.332722017-09-19T03:20:43Z Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods 2013-01 Zulkefli, Nor Afifah Hanim QA Mathematics A system of nonlinear equations is a well-known problem in many fields of science and engineering. There may have no solution or multiple solutions for the systems. This dissertation is aimed to solve a system of nonlinear equations using combination of Newton, conjugate gradient and quadrature methods. This new method is able to improve the approximated solution of a system of nonlinear equations. C++ compiler is used to achieve the objectives of this dissertation. Besides that, conjugate gradient method is used to find sufficiently accurate starting approximations for the Newton-based techniques. Three examples of system of nonlinear problems have been presented in this dissertation. With the help of C++ compiler, the numerical technique has been reviewed. On the other hand, this dissertation is intended to analyze the efficiency and effectiveness of these methods through numerical simulations. Numerical results show that these methods surpassed the other methods in both efficiency and effectiveness. 2013-01 Thesis http://eprints.utm.my/id/eprint/33272/ http://eprints.utm.my/id/eprint/33272/1/NorAfifahHanimMFS2013.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:69059?site_name=Restricted Repository 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 Zulkefli, Nor Afifah Hanim Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
description	A system of nonlinear equations is a well-known problem in many fields of science and engineering. There may have no solution or multiple solutions for the systems. This dissertation is aimed to solve a system of nonlinear equations using combination of Newton, conjugate gradient and quadrature methods. This new method is able to improve the approximated solution of a system of nonlinear equations. C++ compiler is used to achieve the objectives of this dissertation. Besides that, conjugate gradient method is used to find sufficiently accurate starting approximations for the Newton-based techniques. Three examples of system of nonlinear problems have been presented in this dissertation. With the help of C++ compiler, the numerical technique has been reviewed. On the other hand, this dissertation is intended to analyze the efficiency and effectiveness of these methods through numerical simulations. Numerical results show that these methods surpassed the other methods in both efficiency and effectiveness.
format	Thesis
qualification_level	Master's degree
author	Zulkefli, Nor Afifah Hanim
author_facet	Zulkefli, Nor Afifah Hanim
author_sort	Zulkefli, Nor Afifah Hanim
title	Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
title_short	Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
title_full	Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
title_fullStr	Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
title_full_unstemmed	Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
title_sort	root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/33272/1/NorAfifahHanimMFS2013.pdf
_version_	1747816121259524096

Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods

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