Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari

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

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Main Author:	Johari, Atiqah
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Equations Analytical methods used in the solution of physical problems
Online Access:	https://ir.uitm.edu.my/id/eprint/40642/1/40642.pdf
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id	my-uitm-ir.40642
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spelling	my-uitm-ir.406422021-01-18T04:53:38Z Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari 2019-01 Johari, Atiqah Equations Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Most problems in engineering and science field can be in the form of root finding. In addition, the solution of finding the root of function can be solved either in analytical methods and 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. In this research, five different bracketing method that is Bisection, Regular Falsi, Improved Regular Falsi, n-th section and Improved n-th section method are used to approximate the root of ten different function in the form of trigonometric, polynomial, exponential and logarithmic function. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the Improved Regular Falsi is the best method in terms of number of iterations for finding the root of function. Whereas, Regular Falsi is the best method in terms of CPU time. 2019-01 Thesis https://ir.uitm.edu.my/id/eprint/40642/ https://ir.uitm.edu.my/id/eprint/40642/1/40642.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	Equations Equations Analytical methods used in the solution of physical problems
spellingShingle	Equations Equations Analytical methods used in the solution of physical problems Johari, Atiqah Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari
description	Most problems in engineering and science field can be in the form of root finding. In addition, the solution of finding the root of function can be solved either in analytical methods and 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. In this research, five different bracketing method that is Bisection, Regular Falsi, Improved Regular Falsi, n-th section and Improved n-th section method are used to approximate the root of ten different function in the form of trigonometric, polynomial, exponential and logarithmic function. The result is based on number of iteration, CPU time and error analysis from three difference tolerance. Numerical result show that the Improved Regular Falsi is the best method in terms of number of iterations for finding the root of function. Whereas, Regular Falsi is the best method in terms of CPU time.
format	Thesis
qualification_level	Bachelor degree
author	Johari, Atiqah
author_facet	Johari, Atiqah
author_sort	Johari, Atiqah
title	Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari
title_short	Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari
title_full	Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari
title_fullStr	Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari
title_full_unstemmed	Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari
title_sort	comparisons of five numerical methods for finding the roots of nonlinear functions / atiqah johari
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40642/1/40642.pdf
_version_	1783734589537124352

Comparisons of five numerical methods for finding the roots of nonlinear functions / Atiqah Johari

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