Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun

In computational and applied mathematics, root finding of nonlinear equations are of significant importance due to their wide applications in many branches of modern sciences such as Engineering, Mathematical Chemistry, Biomathematics, Physics, Statistics, etc. Newton’s method and Steffensen’s metho...

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Bibliographic Details
Main Author:	Mohd Tahirun, Nurlin Syakira
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/97761/1/97761.pdf
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id	my-uitm-ir.97761
record_format	uketd_dc
spelling	my-uitm-ir.977612024-07-27T17:39:54Z Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun 2023 Mohd Tahirun, Nurlin Syakira Difference equations. Functional equations. Delay differential equations. Integral equations In computational and applied mathematics, root finding of nonlinear equations are of significant importance due to their wide applications in many branches of modern sciences such as Engineering, Mathematical Chemistry, Biomathematics, Physics, Statistics, etc. Newton’s method and Steffensen’s method are well-known methods that are often used to solve root finding problems, especially nonlinear functions. Unfortunately, there are some limitations for these two methods in terms of the simplicity of the method algorithm and efficiency of the method in solving complicated equations. The objective is to determine the best method among four numerical methods selected in solving root finding problem. All methods will be analysed based on convergence, accuracy, number of iteration and CPU times. In this project it shows that Newton’s method is still the best method to be used in solving nonlinear problems 2023 Thesis https://ir.uitm.edu.my/id/eprint/97761/ https://ir.uitm.edu.my/id/eprint/97761/1/97761.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 Mohd Tahirun, Nurlin Syakira Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun
description	In computational and applied mathematics, root finding of nonlinear equations are of significant importance due to their wide applications in many branches of modern sciences such as Engineering, Mathematical Chemistry, Biomathematics, Physics, Statistics, etc. Newton’s method and Steffensen’s method are well-known methods that are often used to solve root finding problems, especially nonlinear functions. Unfortunately, there are some limitations for these two methods in terms of the simplicity of the method algorithm and efficiency of the method in solving complicated equations. The objective is to determine the best method among four numerical methods selected in solving root finding problem. All methods will be analysed based on convergence, accuracy, number of iteration and CPU times. In this project it shows that Newton’s method is still the best method to be used in solving nonlinear problems
format	Thesis
qualification_level	Bachelor degree
author	Mohd Tahirun, Nurlin Syakira
author_facet	Mohd Tahirun, Nurlin Syakira
author_sort	Mohd Tahirun, Nurlin Syakira
title	Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun
title_short	Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun
title_full	Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun
title_fullStr	Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun
title_full_unstemmed	Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun
title_sort	comparative study of open methods in finding root of nonlinear functions / nurlin syakira mohd tahirun
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/97761/1/97761.pdf
_version_	1811768875801378816

Comparative study of open methods in finding root of nonlinear functions / Nurlin Syakira Mohd Tahirun

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