Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan

The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article. A commonly used technique for locating roots is the secant method, however it suffers from delayed convergence cl...

Full description

Saved in:

Bibliographic Details
Main Author:	Hassan, Nurul Shayiddatul Asma
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/97783/1/97783.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uitm-ir.97783
record_format	uketd_dc
spelling	my-uitm-ir.977832024-07-27T17:56:16Z Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan 2023 Hassan, Nurul Shayiddatul Asma Difference equations. Functional equations. Delay differential equations. Integral equations The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article. A commonly used technique for locating roots is the secant method, however it suffers from delayed convergence close to the answer. The modified secant method introduces a slight perturbation in the secant formula to improve convergence properties in order to get over this restriction. The modified Newton-secant method, on the other hand, uses a secant-based strategy together with derivative data to combine the benefits of both the secant and Newton methods. The objective of this research is to evaluate and compare how well various methods perform in terms of number of iterations, value of roots, error and Central Processing Units (CPU) Time. Overall, this comparative analysis adds to the body of knowledge on numerical methods for nonlinear equations and helps researchers and practitioners choose and use the right iterative method by providing them with the information they need. This research conclude that Modified Secant method is the efficient method among those three methods. 2023 Thesis https://ir.uitm.edu.my/id/eprint/97783/ https://ir.uitm.edu.my/id/eprint/97783/1/97783.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 Hassan, Nurul Shayiddatul Asma Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
description	The secant method, the modified secant method, and the modified Newton-secant method are three common iterative methods for solving nonlinear equations that are compared in this article. A commonly used technique for locating roots is the secant method, however it suffers from delayed convergence close to the answer. The modified secant method introduces a slight perturbation in the secant formula to improve convergence properties in order to get over this restriction. The modified Newton-secant method, on the other hand, uses a secant-based strategy together with derivative data to combine the benefits of both the secant and Newton methods. The objective of this research is to evaluate and compare how well various methods perform in terms of number of iterations, value of roots, error and Central Processing Units (CPU) Time. Overall, this comparative analysis adds to the body of knowledge on numerical methods for nonlinear equations and helps researchers and practitioners choose and use the right iterative method by providing them with the information they need. This research conclude that Modified Secant method is the efficient method among those three methods.
format	Thesis
qualification_level	Bachelor degree
author	Hassan, Nurul Shayiddatul Asma
author_facet	Hassan, Nurul Shayiddatul Asma
author_sort	Hassan, Nurul Shayiddatul Asma
title	Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
title_short	Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
title_full	Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
title_fullStr	Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
title_full_unstemmed	Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan
title_sort	comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / nurul shayiddatul asma hassan
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/97783/1/97783.pdf
_version_	1811768877071204352

Comparison of secant, modified secant and modified newton-secant iterative methods of solving nonlinear equations / Nurul Shayiddatul Asma Hassan

Similar Items