Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar

In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is of...

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Main Author:	Mohamed Azhar, Nur Afiqah
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms
Online Access:	https://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf
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id	my-uitm-ir.40652
record_format	uketd_dc
spelling	my-uitm-ir.406522021-01-19T04:50:22Z Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar 2019-01 Mohamed Azhar, Nur Afiqah Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Evolutionary programming (Computer science). Genetic algorithms Algorithms In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is often used to find only the approximate root of the function. This research tries to approximate the root for ten difference function of trigonometric, polynomial, exponential and logarithmic function using five difference bracketing method which are bisection, n-section, improved n-section, newton and bisection newton like algorithm. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the newton’s method is the best bracketing method for finding the root of function. 2019-01 Thesis https://ir.uitm.edu.my/id/eprint/40652/ https://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Mohd Ali, Mohd Rivaie
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohd Ali, Mohd Rivaie
topic	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Mathematical statistics Probabilities Algorithms
spellingShingle	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Mathematical statistics Probabilities Algorithms Mohamed Azhar, Nur Afiqah Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
description	In the field of science, engineering and natural science, practitioners often faced with the question of finding the exact root of the function. The exact root for simple function is easy to acquire rather than complicated functions. Therefore, numerical method in the form of bracketing method is often used to find only the approximate root of the function. This research tries to approximate the root for ten difference function of trigonometric, polynomial, exponential and logarithmic function using five difference bracketing method which are bisection, n-section, improved n-section, newton and bisection newton like algorithm. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the newton’s method is the best bracketing method for finding the root of function.
format	Thesis
qualification_level	Bachelor degree
author	Mohamed Azhar, Nur Afiqah
author_facet	Mohamed Azhar, Nur Afiqah
author_sort	Mohamed Azhar, Nur Afiqah
title	Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
title_short	Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
title_full	Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
title_fullStr	Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
title_full_unstemmed	Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar
title_sort	finding the root of nonlinear function using five bracketing method / nur afiqah mohamed azhar
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf
_version_	1783734590336139264

Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar

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