Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof

Root finding is a mathematical problem that can be solved using analytical or theoretical method. Numerical method is preferable due to its ability to find root where theoretical method failed. The aim of the research is to find the roots of function using four different numerical method which inclu...

Full description

Saved in:

Bibliographic Details
Main Author:	Maarof, Nurfarah Anis
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/106223/1/106223.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-uitm-ir.106223
record_format	uketd_dc
spelling	my-uitm-ir.1062232024-11-30T17:24:41Z Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof 2024 Maarof, Nurfarah Anis Analytical methods used in the solution of physical problems Root finding is a mathematical problem that can be solved using analytical or theoretical method. Numerical method is preferable due to its ability to find root where theoretical method failed. The aim of the research is to find the roots of function using four different numerical method which include Newton's method, Steffensen's method, Noor 1st method and Noor 2nd method. The result is analysed based on the number of iterations and CPU time. The performance profile by Dolan and More is used to determine the best method. It shows that newton method is the best in terms of number of iteration while Noor 1st method is the best in terms of CPU Time. 2024 Thesis https://ir.uitm.edu.my/id/eprint/106223/ https://ir.uitm.edu.my/id/eprint/106223/1/106223.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 Maarof, Nurfarah Anis Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof
description	Root finding is a mathematical problem that can be solved using analytical or theoretical method. Numerical method is preferable due to its ability to find root where theoretical method failed. The aim of the research is to find the roots of function using four different numerical method which include Newton's method, Steffensen's method, Noor 1st method and Noor 2nd method. The result is analysed based on the number of iterations and CPU time. The performance profile by Dolan and More is used to determine the best method. It shows that newton method is the best in terms of number of iteration while Noor 1st method is the best in terms of CPU Time.
format	Thesis
qualification_level	Bachelor degree
author	Maarof, Nurfarah Anis
author_facet	Maarof, Nurfarah Anis
author_sort	Maarof, Nurfarah Anis
title	Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof
title_short	Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof
title_full	Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof
title_fullStr	Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof
title_full_unstemmed	Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof
title_sort	comparison of iterative method for finding root of non-linear equation / nurfarah anis maarof
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2024
url	https://ir.uitm.edu.my/id/eprint/106223/1/106223.pdf
_version_	1818588171940659200

Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof

Similar Items