A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom

The multi sections method is a family of an upgraded version of bisection method. In this project, four sections method will be studied and improved. The difference between these two methods is the number of intervals itself. For the bisection method, the interval is divided into two equal intervals...

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Main Authors:	Ahmad Rifa’I, Nur ‘Izzati, Shahrom, Nor Wardatushihah
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/40623/1/40623.pdf
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id	my-uitm-ir.40623
record_format	uketd_dc
spelling	my-uitm-ir.406232021-01-18T04:03:44Z A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom 2019 Ahmad Rifa’I, Nur ‘Izzati Shahrom, Nor Wardatushihah Equations Mathematical statistics. Probabilities Analytical methods used in the solution of physical problems The multi sections method is a family of an upgraded version of bisection method. In this project, four sections method will be studied and improved. The difference between these two methods is the number of intervals itself. For the bisection method, the interval is divided into two equal intervals. Meanwhile, the interval in four sections method is divided into four equal sections. The root is then identified either in the first, second, third or fourth interval by determining the sign of the product of the function at both interval ends. The iterative sequence is continued until a desired stop criterion has been reached. In this research, a modification of four sections method is introduced. These methods are tested for several selected functions by using Maple software. The results are then analysed to determine the accuracy and efficiency of this new method based on the number of iterations and the CPU times. Based on the results, it is shown that when the interval increases, the CPU times will increase, however the number of iterations is reduced significantly. 2019 Thesis https://ir.uitm.edu.my/id/eprint/40623/ https://ir.uitm.edu.my/id/eprint/40623/1/40623.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Embong, Muhammad Fauzi
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Embong, Muhammad Fauzi
topic	Equations Equations Analytical methods used in the solution of physical problems
spellingShingle	Equations Equations Analytical methods used in the solution of physical problems Ahmad Rifa’I, Nur ‘Izzati Shahrom, Nor Wardatushihah A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom
description	The multi sections method is a family of an upgraded version of bisection method. In this project, four sections method will be studied and improved. The difference between these two methods is the number of intervals itself. For the bisection method, the interval is divided into two equal intervals. Meanwhile, the interval in four sections method is divided into four equal sections. The root is then identified either in the first, second, third or fourth interval by determining the sign of the product of the function at both interval ends. The iterative sequence is continued until a desired stop criterion has been reached. In this research, a modification of four sections method is introduced. These methods are tested for several selected functions by using Maple software. The results are then analysed to determine the accuracy and efficiency of this new method based on the number of iterations and the CPU times. Based on the results, it is shown that when the interval increases, the CPU times will increase, however the number of iterations is reduced significantly.
format	Thesis
qualification_level	Bachelor degree
author	Ahmad Rifa’I, Nur ‘Izzati Shahrom, Nor Wardatushihah
author_facet	Ahmad Rifa’I, Nur ‘Izzati Shahrom, Nor Wardatushihah
author_sort	Ahmad Rifa’I, Nur ‘Izzati
title	A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom
title_short	A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom
title_full	A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom
title_fullStr	A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom
title_full_unstemmed	A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom
title_sort	modified four sections method for solving nonlinear equation / nur ‘izzati ahmad rifa’i and nor wardatushihah shahrom
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/40623/1/40623.pdf
_version_	1783734588736012288

A modified four sections method for solving nonlinear equation / Nur ‘Izzati Ahmad Rifa’I and Nor Wardatushihah Shahrom

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