Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman

Numerical analysis is to solve the functions for finding root by using a few numerical methods such as Secant, Fixed point and Sixth section methods to solve the functions for finding root. In this research, these methods are selected because it can be understand and has simple algorithm to use. The...

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Main Author:	Abdul Rahman, Nik Syahrul Naim
Format:	Thesis
Language:	English
Published:	2017
Subjects:	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms Finite element method
Online Access:	https://ir.uitm.edu.my/id/eprint/40982/1/40982.pdf
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id	my-uitm-ir.40982
record_format	uketd_dc
spelling	my-uitm-ir.409822021-01-25T05:23:20Z Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman 2017-07 Abdul Rahman, Nik Syahrul Naim Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems Algorithms Finite element method Numerical analysis is to solve the functions for finding root by using a few numerical methods such as Secant, Fixed point and Sixth section methods to solve the functions for finding root. In this research, these methods are selected because it can be understand and has simple algorithm to use. The chosen methods are analyzed and compare it efficiency in order to solve the nonlinear function. The cubic polynomial, exponential, trigonometric, and logarithm functions are nonlinear function. For each nonlinear function, there are two difference functions were tested by using code Maple 17 software. The result is then analyzed based on the number of iterations and the central processing unit (CPU) times where it define the fastest calculation for the root. Even though, these methods are easy but it does possesses some errors compared to the exact root. So, it will produced error analysis. All three criteria are depends to a certain tolerance. 2017-07 Thesis https://ir.uitm.edu.my/id/eprint/40982/ https://ir.uitm.edu.my/id/eprint/40982/1/40982.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Jaafar, Ruhana
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Jaafar, Ruhana
topic	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms Finite element method
spellingShingle	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms Finite element method Abdul Rahman, Nik Syahrul Naim Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman
description	Numerical analysis is to solve the functions for finding root by using a few numerical methods such as Secant, Fixed point and Sixth section methods to solve the functions for finding root. In this research, these methods are selected because it can be understand and has simple algorithm to use. The chosen methods are analyzed and compare it efficiency in order to solve the nonlinear function. The cubic polynomial, exponential, trigonometric, and logarithm functions are nonlinear function. For each nonlinear function, there are two difference functions were tested by using code Maple 17 software. The result is then analyzed based on the number of iterations and the central processing unit (CPU) times where it define the fastest calculation for the root. Even though, these methods are easy but it does possesses some errors compared to the exact root. So, it will produced error analysis. All three criteria are depends to a certain tolerance.
format	Thesis
qualification_level	Bachelor degree
author	Abdul Rahman, Nik Syahrul Naim
author_facet	Abdul Rahman, Nik Syahrul Naim
author_sort	Abdul Rahman, Nik Syahrul Naim
title	Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman
title_short	Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman
title_full	Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman
title_fullStr	Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman
title_full_unstemmed	Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman
title_sort	comparative study of secant, fixed point and sixth section methods for solving root in nonlinear equation / nik syahrul naim abdul rahman
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2017
url	https://ir.uitm.edu.my/id/eprint/40982/1/40982.pdf
_version_	1783734606926708736

Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman

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