Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh

This study explores the effectiveness of five higher-order iterative techniques for solving nonlinear equations which are Newton method, Jarratt method, Frontini and Sormani method, Potra and Ptak method, and Weerakoon and Fernando method. All of these methods are the early improvement of the Newton...

Full description

Saved in:

Bibliographic Details
Main Author:	Salleh, Muhammad Syafiq
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/106183/1/106183.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uitm-ir.106183
record_format	uketd_dc
spelling	my-uitm-ir.1061832024-11-30T22:55:42Z Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh 2024 Salleh, Muhammad Syafiq Analytical methods used in the solution of physical problems This study explores the effectiveness of five higher-order iterative techniques for solving nonlinear equations which are Newton method, Jarratt method, Frontini and Sormani method, Potra and Ptak method, and Weerakoon and Fernando method. All of these methods are the early improvement of the Newton method. All these methods will be compared and test with eight different type of test functions and also with differences tolerance. The comparison of the methods is assessed according on the amount of CPU time used, the accuracy of the outcomes, and the number of iterations needed. According to the investigation, the Newton method approach is the most CPU-time efficient because of its simplicity, but the Jarratt method performs better with less repetitions because of its greater convergence rate. Most of the methods have similar accuracy, however the Potra and Ptak method exhibits more frequent convergence failures. This study emphasizes how important it is to balance iteration count and computational efficiency when choosing suitable iterative algorithms based on particular computational requirements. 2024 Thesis https://ir.uitm.edu.my/id/eprint/106183/ https://ir.uitm.edu.my/id/eprint/106183/1/106183.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	Analytical methods used in the solution of physical problems
spellingShingle	Analytical methods used in the solution of physical problems Salleh, Muhammad Syafiq Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh
description	This study explores the effectiveness of five higher-order iterative techniques for solving nonlinear equations which are Newton method, Jarratt method, Frontini and Sormani method, Potra and Ptak method, and Weerakoon and Fernando method. All of these methods are the early improvement of the Newton method. All these methods will be compared and test with eight different type of test functions and also with differences tolerance. The comparison of the methods is assessed according on the amount of CPU time used, the accuracy of the outcomes, and the number of iterations needed. According to the investigation, the Newton method approach is the most CPU-time efficient because of its simplicity, but the Jarratt method performs better with less repetitions because of its greater convergence rate. Most of the methods have similar accuracy, however the Potra and Ptak method exhibits more frequent convergence failures. This study emphasizes how important it is to balance iteration count and computational efficiency when choosing suitable iterative algorithms based on particular computational requirements.
format	Thesis
qualification_level	Bachelor degree
author	Salleh, Muhammad Syafiq
author_facet	Salleh, Muhammad Syafiq
author_sort	Salleh, Muhammad Syafiq
title	Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh
title_short	Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh
title_full	Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh
title_fullStr	Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh
title_full_unstemmed	Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh
title_sort	comparison of higher order iterative methods in solving nonlinear equations / muhammad syafiq 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/106183/1/106183.pdf
_version_	1818588170418126848

Comparison of higher order iterative methods in solving nonlinear equations / Muhammad Syafiq Salleh

Similar Items