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
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Online Access:http://ir.uitm.edu.my/id/eprint/40982/1/40982.pdf
http://ir.uitm.edu.my/id/eprint/40982/
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spelling my.uitm.ir.409822021-01-25T05:23:20Z http://ir.uitm.edu.my/id/eprint/40982/ Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman 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 NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/40982/1/40982.pdf Abdul Rahman, Nik Syahrul Naim (2017) Comparative study of secant, Fixed point and Sixth section methods for solving root in nonlinear equation / Nik Syahrul Naim Abdul Rahman. 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
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
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
publishDate 2017
url http://ir.uitm.edu.my/id/eprint/40982/1/40982.pdf
http://ir.uitm.edu.my/id/eprint/40982/
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score 13.211869