Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni

In the fields of science, engineering, and natural science, practitioners often encounter the question of determining the exact root of a function. It is relatively easier to find the exact root for simple functions compared to complicated ones. Consequently, numerical methods in the form of open me...

Full description

Saved in:

Bibliographic Details
Main Author:	Misni, Nur Adlin Arifah
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Difference equations Functional equations Delay differential equations Integral equations
Online Access:	https://ir.uitm.edu.my/id/eprint/97686/1/97686.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uitm-ir.97686
record_format	uketd_dc
spelling	my-uitm-ir.976862024-07-27T16:57:50Z Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni 2023 Misni, Nur Adlin Arifah Difference equations. Functional equations. Delay differential equations. Integral equations In the fields of science, engineering, and natural science, practitioners often encounter the question of determining the exact root of a function. It is relatively easier to find the exact root for simple functions compared to complicated ones. Consequently, numerical methods in the form of open methods are frequently employed to approximate the roots of functions. This research aims to approximate the roots of six functions using four different initial values. The tested functions comprise combinations of trigonometric, exponential, and cubic polynomial functions, and the open methods utilized include Newton's method, Steffensen's method, Chebyshev's method, and Halley's method. The results are based on the number of iterations, CPU times, and error analysis with three different tolerance levels. The numerical findings demonstrate that Halley's method is the most effective open method for finding the roots of functions. 2023 Thesis https://ir.uitm.edu.my/id/eprint/97686/ https://ir.uitm.edu.my/id/eprint/97686/1/97686.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	Difference equations Functional equations Delay differential equations Integral equations
spellingShingle	Difference equations Functional equations Delay differential equations Integral equations Misni, Nur Adlin Arifah Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni
description	In the fields of science, engineering, and natural science, practitioners often encounter the question of determining the exact root of a function. It is relatively easier to find the exact root for simple functions compared to complicated ones. Consequently, numerical methods in the form of open methods are frequently employed to approximate the roots of functions. This research aims to approximate the roots of six functions using four different initial values. The tested functions comprise combinations of trigonometric, exponential, and cubic polynomial functions, and the open methods utilized include Newton's method, Steffensen's method, Chebyshev's method, and Halley's method. The results are based on the number of iterations, CPU times, and error analysis with three different tolerance levels. The numerical findings demonstrate that Halley's method is the most effective open method for finding the roots of functions.
format	Thesis
qualification_level	Bachelor degree
author	Misni, Nur Adlin Arifah
author_facet	Misni, Nur Adlin Arifah
author_sort	Misni, Nur Adlin Arifah
title	Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni
title_short	Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni
title_full	Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni
title_fullStr	Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni
title_full_unstemmed	Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni
title_sort	finding the root of nonlinear equations using open method / nur adlin arifah misni
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/97686/1/97686.pdf
_version_	1811768872784625664

Finding the root of nonlinear equations using open method / Nur Adlin Arifah Misni

Similar Items