Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh

This study is about the second- and fourth-order iterative methods. Also, the comparison of the effectiveness of the chosen iterative methods, which are the Newton method (NM), Three-Step method (TSM), Yun method (YM) and Rajni Sharma method (RSM) for solving nonlinear equations. All those methods w...

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Main Author:	Salleh, Aimi Syasha
Format:	Thesis
Language:	English
Published:	2024
Subjects:	Difference equations Functional equations Delay differential equations Integral equations
Online Access:	https://ir.uitm.edu.my/id/eprint/106029/1/106029.pdf
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id	my-uitm-ir.106029
record_format	uketd_dc
spelling	my-uitm-ir.1060292024-11-30T22:59:25Z Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh 2024 Salleh, Aimi Syasha Difference equations. Functional equations. Delay differential equations. Integral equations This study is about the second- and fourth-order iterative methods. Also, the comparison of the effectiveness of the chosen iterative methods, which are the Newton method (NM), Three-Step method (TSM), Yun method (YM) and Rajni Sharma method (RSM) for solving nonlinear equations. All those methods will be compared and tested with eight different types of test functions and with different tolerances. The comparisons are centered around evaluating accuracy, the quantity of iterations required, and CPU time across various methods or algorithms. These criteria’s serve as the foundation for assessing how well each method performs in solving the given problems. These comparisons are crucial for determining the most effective approach to solving the problems at hand, considering both the precision of the results and the computational efficiency required. According to the investigation, the Rajni Sharma method is the most efficient method among those methods. Several numerical examples are given to illustrate the efficiency and performance of all the methods. 2024 Thesis https://ir.uitm.edu.my/id/eprint/106029/ https://ir.uitm.edu.my/id/eprint/106029/1/106029.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Razali, Noor Khairiah
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Razali, Noor Khairiah
topic	Difference equations Functional equations Delay differential equations Integral equations
spellingShingle	Difference equations Functional equations Delay differential equations Integral equations Salleh, Aimi Syasha Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh
description	This study is about the second- and fourth-order iterative methods. Also, the comparison of the effectiveness of the chosen iterative methods, which are the Newton method (NM), Three-Step method (TSM), Yun method (YM) and Rajni Sharma method (RSM) for solving nonlinear equations. All those methods will be compared and tested with eight different types of test functions and with different tolerances. The comparisons are centered around evaluating accuracy, the quantity of iterations required, and CPU time across various methods or algorithms. These criteria’s serve as the foundation for assessing how well each method performs in solving the given problems. These comparisons are crucial for determining the most effective approach to solving the problems at hand, considering both the precision of the results and the computational efficiency required. According to the investigation, the Rajni Sharma method is the most efficient method among those methods. Several numerical examples are given to illustrate the efficiency and performance of all the methods.
format	Thesis
qualification_level	Bachelor degree
author	Salleh, Aimi Syasha
author_facet	Salleh, Aimi Syasha
author_sort	Salleh, Aimi Syasha
title	Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh
title_short	Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh
title_full	Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh
title_fullStr	Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh
title_full_unstemmed	Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh
title_sort	solving nonlinear equations using numerical methods: a comparison of newton method, three step newton method, yun method and rajni sharma method / aimi syasha salleh
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/106029/1/106029.pdf
_version_	1818588168431075328

Solving nonlinear equations using numerical methods: a comparison of Newton method, Three Step Newton method, Yun method and Rajni Sharma method / Aimi Syasha Salleh

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