Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir

Numerical analyze is a field of mathematics and computer science that produces, analyses, and implements algorithms to solve the problems of continuous mathematics numerically. Such problems typically emerge from real-world applications of algebra, geometry, and calculus, and include variables that...

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Main Author:	Yasir, Nurul Ashsyikin
Format:	Thesis
Language:	English
Published:	2021
Subjects:	Equations Algorithms
Online Access:	https://ir.uitm.edu.my/id/eprint/77728/1/77728.pdf
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id	my-uitm-ir.77728
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spelling	my-uitm-ir.777282023-05-22T04:56:38Z Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir 2021-07 Yasir, Nurul Ashsyikin Equations Mathematical statistics. Probabilities Difference equations. Functional equations. Delay differential equations. Integral equations Algorithms Numerical analyze is a field of mathematics and computer science that produces, analyses, and implements algorithms to solve the problems of continuous mathematics numerically. Such problems typically emerge from real-world applications of algebra, geometry, and calculus, and include variables that differ continuously. These issues exist in the natural sciences, social sciences, medicine, engineering, and business sectors. A few numerical methods have been introduced to help mathematician to solve these functions for finding root such as Secant method, Bisection method and Newton method. These methods are chosen because can apply simple algorithm that could be understand. The aims of research are which approach in numerical analysis is the best and most successful for finding a root in a nonlinear equation. So, the objective of this research is to solve a nonlinear equation theoretically and numerically. After calculate all the root for each method, the errors of Secant method, Bisection method and Newton method based on the exact solution for solving the system of nonlinear equation will be calculated and analyse. The method with the least of error will be chosen as the best method in finding root for nonlinear equation. The method that will be used in this research are Secant method, Bisection method and newton method. This because three of method easier and more suitable than other method in finding root. Throughout this project, it will help the researcher to finding a root for nonlinear equation using the best method. 2021-07 Thesis https://ir.uitm.edu.my/id/eprint/77728/ https://ir.uitm.edu.my/id/eprint/77728/1/77728.pdf text en public degree Universiti Teknologi MARA, Terengganu Faculty of Computer and Mathematical Sciences Mat Ripin, Rohayati
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mat Ripin, Rohayati
topic	Equations Equations Equations Algorithms
spellingShingle	Equations Equations Equations Algorithms Yasir, Nurul Ashsyikin Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir
description	Numerical analyze is a field of mathematics and computer science that produces, analyses, and implements algorithms to solve the problems of continuous mathematics numerically. Such problems typically emerge from real-world applications of algebra, geometry, and calculus, and include variables that differ continuously. These issues exist in the natural sciences, social sciences, medicine, engineering, and business sectors. A few numerical methods have been introduced to help mathematician to solve these functions for finding root such as Secant method, Bisection method and Newton method. These methods are chosen because can apply simple algorithm that could be understand. The aims of research are which approach in numerical analysis is the best and most successful for finding a root in a nonlinear equation. So, the objective of this research is to solve a nonlinear equation theoretically and numerically. After calculate all the root for each method, the errors of Secant method, Bisection method and Newton method based on the exact solution for solving the system of nonlinear equation will be calculated and analyse. The method with the least of error will be chosen as the best method in finding root for nonlinear equation. The method that will be used in this research are Secant method, Bisection method and newton method. This because three of method easier and more suitable than other method in finding root. Throughout this project, it will help the researcher to finding a root for nonlinear equation using the best method.
format	Thesis
qualification_level	Bachelor degree
author	Yasir, Nurul Ashsyikin
author_facet	Yasir, Nurul Ashsyikin
author_sort	Yasir, Nurul Ashsyikin
title	Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir
title_short	Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir
title_full	Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir
title_fullStr	Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir
title_full_unstemmed	Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir
title_sort	comparison between secant method, newton method and bisection method in solving nonlinear equation / nurul ashsyikin yasir
granting_institution	Universiti Teknologi MARA, Terengganu
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2021
url	https://ir.uitm.edu.my/id/eprint/77728/1/77728.pdf
_version_	1783736161844330496

Comparison between Secant method, Newton method and Bisection method in solving nonlinear equation / Nurul Ashsyikin Yasir

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