Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi

Mathematically every information or statistics could be transformed into a specific function by using mathematical modelling techniques. This function could be used later to find root(s), maximum point or minimum point and even to find the discontinuity point. A few numerical methods have been intro...

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Main Authors:	Zamri Azuha, Abdul Zaki, Mohd Sopi, Mohamad Aliff Haziq
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Mathematical statistics Probabilities Algorithms
Online Access:	https://ir.uitm.edu.my/id/eprint/39661/1/39661.pdf
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id	my-uitm-ir.39661
record_format	uketd_dc
spelling	my-uitm-ir.396612020-12-24T05:33:32Z Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi 2019-07 Zamri Azuha, Abdul Zaki Mohd Sopi, Mohamad Aliff Haziq Mathematical statistics. Probabilities Difference equations. Functional equations. Delay differential equations. Integral equations Algorithms Mathematically every information or statistics could be transformed into a specific function by using mathematical modelling techniques. This function could be used later to find root(s), maximum point or minimum point and even to find the discontinuity point. A few numerical methods have been introduced in order to help mathematician to solve these functions for finding root(s) for example Bisection, Newton method and Homer’s method. These methods are chosen because they apply simple algorithm that could be understood. This research analysed and compared the efficiency of these methods to solve nonlinear function such as trigonometric, exponential, logarithmic and cubic polynomial function. Although the methods are considered as alternative, the methods also possess error compared to the exact value. So, error analysis conducted. The efficiency is measured by the error produced at the fixed iteration. The methods are converted into C language and executed by using Maple 18. Furthermore, the three method are measured with respect to certain tolerance. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/39661/ https://ir.uitm.edu.my/id/eprint/39661/1/39661.pdf text en public degree Universiti Teknologi MARA, Terengganu Faculty of Computer and Mathematical Sciences Ab Aziz, Amiruddin
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Ab Aziz, Amiruddin
topic	Mathematical statistics Probabilities Mathematical statistics Probabilities Algorithms
spellingShingle	Mathematical statistics Probabilities Mathematical statistics Probabilities Algorithms Zamri Azuha, Abdul Zaki Mohd Sopi, Mohamad Aliff Haziq Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi
description	Mathematically every information or statistics could be transformed into a specific function by using mathematical modelling techniques. This function could be used later to find root(s), maximum point or minimum point and even to find the discontinuity point. A few numerical methods have been introduced in order to help mathematician to solve these functions for finding root(s) for example Bisection, Newton method and Homer’s method. These methods are chosen because they apply simple algorithm that could be understood. This research analysed and compared the efficiency of these methods to solve nonlinear function such as trigonometric, exponential, logarithmic and cubic polynomial function. Although the methods are considered as alternative, the methods also possess error compared to the exact value. So, error analysis conducted. The efficiency is measured by the error produced at the fixed iteration. The methods are converted into C language and executed by using Maple 18. Furthermore, the three method are measured with respect to certain tolerance.
format	Thesis
qualification_level	Bachelor degree
author	Zamri Azuha, Abdul Zaki Mohd Sopi, Mohamad Aliff Haziq
author_facet	Zamri Azuha, Abdul Zaki Mohd Sopi, Mohamad Aliff Haziq
author_sort	Zamri Azuha, Abdul Zaki
title	Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi
title_short	Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi
title_full	Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi
title_fullStr	Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi
title_full_unstemmed	Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi
title_sort	comparative study of bisection, newton and horner’s method for solving nonlinear equation / abdul zaki zamri azuha and mohamad aliff haziq mohd sopi
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/39661/1/39661.pdf
_version_	1783734525977690112

Comparative study of Bisection, Newton and Horner’s method for solving nonlinear equation / Abdul Zaki Zamri Azuha and Mohamad Aliff Haziq Mohd Sopi

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