Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani

Most problems in engineering and science field can be in the form of root findings. In addition, the solution of finding root of function can be solved either in analytical methods or numerical methods. However, these analytical methods are quite complicated and difficult. Researcher tends to use nu...

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Main Author:	Zamani, Muhammad Athir
Format:	Thesis
Language:	English
Published:	2023
Subjects:	Bayesian statistics
Online Access:	https://ir.uitm.edu.my/id/eprint/96767/1/96767.pdf
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id	my-uitm-ir.96767
record_format	uketd_dc
spelling	my-uitm-ir.967672024-06-11T16:40:53Z Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani 2023 Zamani, Muhammad Athir Bayesian statistics Most problems in engineering and science field can be in the form of root findings. In addition, the solution of finding root of function can be solved either in analytical methods or numerical methods. However, these analytical methods are quite complicated and difficult. Researcher tends to use numerical method in the form of bracketing method which is quite simple and easy compared to the analytical method. Bisection was stated as the simplest among all bracketing method. In this research, five different variants of Bisection which are Bisection, Modified Bisection Algorithm, Trisection, Regula Falsi and fzero were used to approximate the root of 15 different functions. This research has performed bibliometric analysis to review the variants of Bisection Method. Based on previous research, each variant of Bisection have advantages and disadvantages which some only could not solve certain problems so other variant method had been proposed to overcome the problem. All of the method were included in MATLAB GUI to ease the process because all user needed was to key in the input ask and choose which method to get the root. The result was based on number of iterations, computational time and error analysis. Based on the result obtained, it can be concluded that fzero is the best method for number of iterations while Modified Bisection Algorithm and Regula Falsi was the best method if compared based on computational time. 2023 Thesis https://ir.uitm.edu.my/id/eprint/96767/ https://ir.uitm.edu.my/id/eprint/96767/1/96767.pdf text en public degree Universiti Teknologi MARA, Terengganu College of Computing, Informatics and Mathematics Norddin, Nur Idalisa
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Norddin, Nur Idalisa
topic	Bayesian statistics
spellingShingle	Bayesian statistics Zamani, Muhammad Athir Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani
description	Most problems in engineering and science field can be in the form of root findings. In addition, the solution of finding root of function can be solved either in analytical methods or numerical methods. However, these analytical methods are quite complicated and difficult. Researcher tends to use numerical method in the form of bracketing method which is quite simple and easy compared to the analytical method. Bisection was stated as the simplest among all bracketing method. In this research, five different variants of Bisection which are Bisection, Modified Bisection Algorithm, Trisection, Regula Falsi and fzero were used to approximate the root of 15 different functions. This research has performed bibliometric analysis to review the variants of Bisection Method. Based on previous research, each variant of Bisection have advantages and disadvantages which some only could not solve certain problems so other variant method had been proposed to overcome the problem. All of the method were included in MATLAB GUI to ease the process because all user needed was to key in the input ask and choose which method to get the root. The result was based on number of iterations, computational time and error analysis. Based on the result obtained, it can be concluded that fzero is the best method for number of iterations while Modified Bisection Algorithm and Regula Falsi was the best method if compared based on computational time.
format	Thesis
qualification_level	Bachelor degree
author	Zamani, Muhammad Athir
author_facet	Zamani, Muhammad Athir
author_sort	Zamani, Muhammad Athir
title	Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani
title_short	Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani
title_full	Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani
title_fullStr	Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani
title_full_unstemmed	Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani
title_sort	solving nonlinear equation using bisection method and its variants based on matlab gui / muhammad athir zamani
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	College of Computing, Informatics and Mathematics
publishDate	2023
url	https://ir.uitm.edu.my/id/eprint/96767/1/96767.pdf
_version_	1804890005790785536

Solving nonlinear equation using Bisection method and its variants based on MATLAB GUI / Muhammad Athir Zamani

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