A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari

Solving nonlinear functions has become a main concern in numerical analysis with various applications within mathematical and engineering fields. Common numerical methods like Newton method and Ostrowski’s method have been widely applied since it is simple and easy to be used. Despite that, the spee...

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Main Author:	Shahiful Khari, Nur Syahzanani
Format:	Thesis
Language:	English
Published:	2024
Subjects:	Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/105951/1/105951.pdf
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id	my-uitm-ir.105951
record_format	uketd_dc
spelling	my-uitm-ir.1059512024-11-30T23:02:42Z A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari 2024 Shahiful Khari, Nur Syahzanani Analytical methods used in the solution of physical problems Solving nonlinear functions has become a main concern in numerical analysis with various applications within mathematical and engineering fields. Common numerical methods like Newton method and Ostrowski’s method have been widely applied since it is simple and easy to be used. Despite that, the speed of convergence is an ongoing concern for these numerical methods. This research tries to modify the Improved Ostrowski’s method by substituting Newton method with Modified Newton method in the formula to enhance their performance in finding roots of nonlinear functions. This research employed four different methods which include Newton, Modified Newton, Improved Ostrowski’s, and the new Combination of Improved Ostrowski’s and Modified Newton method. Comparative analysis has been done using a set of eight nonlinear functions, four different initial guesses, and three levels of tolerance. The numerical results show that the new combined method outperformed other methods by lowering the number of iterations and CPU time. 2024 Thesis https://ir.uitm.edu.my/id/eprint/105951/ https://ir.uitm.edu.my/id/eprint/105951/1/105951.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Mohd Ali, Mohd Rivaie
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohd Ali, Mohd Rivaie
topic	Analytical methods used in the solution of physical problems
spellingShingle	Analytical methods used in the solution of physical problems Shahiful Khari, Nur Syahzanani A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari
description	Solving nonlinear functions has become a main concern in numerical analysis with various applications within mathematical and engineering fields. Common numerical methods like Newton method and Ostrowski’s method have been widely applied since it is simple and easy to be used. Despite that, the speed of convergence is an ongoing concern for these numerical methods. This research tries to modify the Improved Ostrowski’s method by substituting Newton method with Modified Newton method in the formula to enhance their performance in finding roots of nonlinear functions. This research employed four different methods which include Newton, Modified Newton, Improved Ostrowski’s, and the new Combination of Improved Ostrowski’s and Modified Newton method. Comparative analysis has been done using a set of eight nonlinear functions, four different initial guesses, and three levels of tolerance. The numerical results show that the new combined method outperformed other methods by lowering the number of iterations and CPU time.
format	Thesis
qualification_level	Bachelor degree
author	Shahiful Khari, Nur Syahzanani
author_facet	Shahiful Khari, Nur Syahzanani
author_sort	Shahiful Khari, Nur Syahzanani
title	A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari
title_short	A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari
title_full	A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari
title_fullStr	A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari
title_full_unstemmed	A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari
title_sort	modification of improved ostrowski’s method based on modified newton method for solving root of nonlinear functions / nur syahzanani shahiful khari
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/105951/1/105951.pdf
_version_	1818588163403153408

A modification of improved Ostrowski’s method based on modified Newton method for solving root of nonlinear functions / Nur Syahzanani Shahiful Khari

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