A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan

Numerical methods in the form of open methods are frequently used to approximate the root of nonlinear functions. Some numerical methods are Newton’s method, Modified Newton’s method and Ostrowski’s method. This research proposed a new numerical method by combining Modified Newton’s method and Ostro...

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Bibliographic Details
Main Author:	Mat Dan, Nuur Syamimi
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/106018/1/106018.pdf
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id	my-uitm-ir.106018
record_format	uketd_dc
spelling	my-uitm-ir.1060182024-11-30T22:59:37Z A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan 2024 Mat Dan, Nuur Syamimi Analytical methods used in the solution of physical problems Numerical methods in the form of open methods are frequently used to approximate the root of nonlinear functions. Some numerical methods are Newton’s method, Modified Newton’s method and Ostrowski’s method. This research proposed a new numerical method by combining Modified Newton’s method and Ostrowski’s method for finding the root of nonlinear function. To see the effectiveness and performance of this new numerical method when compared to other numerical methods, eight nonlinear functions with four different initial values and three different tolerances have been tested using Maple 2023 programming code. The performances are based on the number of iterations, CPU times and error analysis. The numerical results demonstrated that this new Combination of Modified Newton’s method and Ostrowski’s method is the best numerical method for finding the root of nonlinear function. 2024 Thesis https://ir.uitm.edu.my/id/eprint/106018/ https://ir.uitm.edu.my/id/eprint/106018/1/106018.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 Mat Dan, Nuur Syamimi A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan
description	Numerical methods in the form of open methods are frequently used to approximate the root of nonlinear functions. Some numerical methods are Newton’s method, Modified Newton’s method and Ostrowski’s method. This research proposed a new numerical method by combining Modified Newton’s method and Ostrowski’s method for finding the root of nonlinear function. To see the effectiveness and performance of this new numerical method when compared to other numerical methods, eight nonlinear functions with four different initial values and three different tolerances have been tested using Maple 2023 programming code. The performances are based on the number of iterations, CPU times and error analysis. The numerical results demonstrated that this new Combination of Modified Newton’s method and Ostrowski’s method is the best numerical method for finding the root of nonlinear function.
format	Thesis
qualification_level	Bachelor degree
author	Mat Dan, Nuur Syamimi
author_facet	Mat Dan, Nuur Syamimi
author_sort	Mat Dan, Nuur Syamimi
title	A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan
title_short	A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan
title_full	A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan
title_fullStr	A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan
title_full_unstemmed	A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan
title_sort	modification of ostrowski’s method based on modified newton’s method for finding root / nuur syamimi mat dan
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/106018/1/106018.pdf
_version_	1818588167405568000

A modification of Ostrowski’s method based on modified newton’s method for finding root / Nuur Syamimi Mat Dan

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