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...

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Main Author: Maarof, Nurfarah Anis
Format: Thesis
Language:English
Published: 2024
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Online Access:https://ir.uitm.edu.my/id/eprint/106223/1/106223.pdf
https://ir.uitm.edu.my/id/eprint/106223/
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spelling my.uitm.ir.1062232024-11-30T17:24:41Z https://ir.uitm.edu.my/id/eprint/106223/ Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof 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 NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/106223/1/106223.pdf Comparison of iterative method for finding root of non-linear equation / Nurfarah Anis Maarof. (2024) Degree thesis, thesis, Universiti Teknologi MARA, Terengganu.
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
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
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
publishDate 2024
url https://ir.uitm.edu.my/id/eprint/106223/1/106223.pdf
https://ir.uitm.edu.my/id/eprint/106223/
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score 13.223943