Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan

The performance and convergence properties of several numerical techniques for solving nonlinear equations are examined in this work. The study uses Maple 2016 software to perform a thorough analysis, focusing on iterative techniques including Newton's method, Steffensen's method, Two-Step...

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Main Author:	Hassan, Muhammad Amir Farhan
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/95239/1/95239.pdf
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id	my-uitm-ir.95239
record_format	uketd_dc
spelling	my-uitm-ir.952392024-05-31T03:48:39Z Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan 2024 Hassan, Muhammad Amir Farhan Analytical methods used in the solution of physical problems The performance and convergence properties of several numerical techniques for solving nonlinear equations are examined in this work. The study uses Maple 2016 software to perform a thorough analysis, focusing on iterative techniques including Newton's method, Steffensen's method, Two-Step Steffensen's method, Ostrowski's method, and Modified Ostrowski's method. The effectiveness of these techniques is assessed across ten different test functions and multiple tolerance limits. Considering the computational efficiency and convergence rates of each method, the study highlights its advantages and disadvantages. 2024 Thesis https://ir.uitm.edu.my/id/eprint/95239/ https://ir.uitm.edu.my/id/eprint/95239/1/95239.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 Hassan, Muhammad Amir Farhan Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
description	The performance and convergence properties of several numerical techniques for solving nonlinear equations are examined in this work. The study uses Maple 2016 software to perform a thorough analysis, focusing on iterative techniques including Newton's method, Steffensen's method, Two-Step Steffensen's method, Ostrowski's method, and Modified Ostrowski's method. The effectiveness of these techniques is assessed across ten different test functions and multiple tolerance limits. Considering the computational efficiency and convergence rates of each method, the study highlights its advantages and disadvantages.
format	Thesis
qualification_level	Bachelor degree
author	Hassan, Muhammad Amir Farhan
author_facet	Hassan, Muhammad Amir Farhan
author_sort	Hassan, Muhammad Amir Farhan
title	Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
title_short	Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
title_full	Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
title_fullStr	Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
title_full_unstemmed	Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan
title_sort	comparative analysis of nonlinear equation solvers: a study on newton, ostrowski, modified ostrowski, steffensen, and two-step steffensen methods / muhammad amir farhan hassan
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/95239/1/95239.pdf
_version_	1804889952698236928

Comparative analysis of nonlinear equation solvers: a study on Newton, Ostrowski, modified Ostrowski, Steffensen, and Two-Step Steffensen methods / Muhammad Amir Farhan Hassan

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