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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
Evolutionary programming (Computer science). Genetic algorithms
Algorithms
Online Access:http://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf
http://ir.uitm.edu.my/id/eprint/40652/
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spelling my.uitm.ir.406522021-01-19T04:50:22Z http://ir.uitm.edu.my/id/eprint/40652/ Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar 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 NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf Mohamed Azhar, Nur Afiqah (2019) Finding the root of nonlinear function using five bracketing method / Nur Afiqah Mohamed Azhar. Degree thesis, Universiti Teknologi MARA.
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 Mathematical statistics. Probabilities
Analytical methods used in the solution of physical problems
Evolutionary programming (Computer science). Genetic algorithms
Algorithms
spellingShingle Mathematical statistics. Probabilities
Analytical methods used in the solution of physical problems
Evolutionary programming (Computer science). Genetic algorithms
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
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
publishDate 2019
url http://ir.uitm.edu.my/id/eprint/40652/1/40652.pdf
http://ir.uitm.edu.my/id/eprint/40652/
_version_ 1690374269423321088
score 13.211869

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