Iterative methods for solving nonlinear equations with multiple zeros

This thesis discusses the problem of finding the multiple zeros of nonlinear equations. Six two-step methods without memory are developed. Five of them posses third order convergence and an optimal fourth order of convergence. The optimal order of convergence is determined by applying the Kung-Tr...

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Main Author:	Jamaludin, Nur Alif Akid
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Iterative methods (Mathematics) - Case studies
Online Access:	http://psasir.upm.edu.my/id/eprint/76705/1/FS%202018%2056%20-%20IR.pdf
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id	my-upm-ir.76705
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spelling	my-upm-ir.767052020-02-10T00:25:14Z Iterative methods for solving nonlinear equations with multiple zeros 2018-05 Jamaludin, Nur Alif Akid This thesis discusses the problem of finding the multiple zeros of nonlinear equations. Six two-step methods without memory are developed. Five of them posses third order convergence and an optimal fourth order of convergence. The optimal order of convergence is determined by applying the Kung-Traub conjecture. These method were constructed by modifying the Victory and Neta’s method, Osada’s method, Halley’s method and Chebyshev’s method. All these methods are free from second derivative function. Numerical computation shows that the newly modified methods performed better in term of error. The multiplicity of roots for the test functions have been known beforehand. Basin of attraction described that our methods have bigger choice of initial guess. Iterative methods (Mathematics) - Case studies Differential equations, Nonlinear 2018-05 Thesis http://psasir.upm.edu.my/id/eprint/76705/ http://psasir.upm.edu.my/id/eprint/76705/1/FS%202018%2056%20-%20IR.pdf text en public masters Universiti Putra Malaysia Iterative methods (Mathematics) - Case studies Differential equations, Nonlinear
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
topic	Iterative methods (Mathematics) - Case studies Iterative methods (Mathematics) - Case studies
spellingShingle	Iterative methods (Mathematics) - Case studies Iterative methods (Mathematics) - Case studies Jamaludin, Nur Alif Akid Iterative methods for solving nonlinear equations with multiple zeros
description	This thesis discusses the problem of finding the multiple zeros of nonlinear equations. Six two-step methods without memory are developed. Five of them posses third order convergence and an optimal fourth order of convergence. The optimal order of convergence is determined by applying the Kung-Traub conjecture. These method were constructed by modifying the Victory and Neta’s method, Osada’s method, Halley’s method and Chebyshev’s method. All these methods are free from second derivative function. Numerical computation shows that the newly modified methods performed better in term of error. The multiplicity of roots for the test functions have been known beforehand. Basin of attraction described that our methods have bigger choice of initial guess.
format	Thesis
qualification_level	Master's degree
author	Jamaludin, Nur Alif Akid
author_facet	Jamaludin, Nur Alif Akid
author_sort	Jamaludin, Nur Alif Akid
title	Iterative methods for solving nonlinear equations with multiple zeros
title_short	Iterative methods for solving nonlinear equations with multiple zeros
title_full	Iterative methods for solving nonlinear equations with multiple zeros
title_fullStr	Iterative methods for solving nonlinear equations with multiple zeros
title_full_unstemmed	Iterative methods for solving nonlinear equations with multiple zeros
title_sort	iterative methods for solving nonlinear equations with multiple zeros
granting_institution	Universiti Putra Malaysia
publishDate	2018
url	http://psasir.upm.edu.my/id/eprint/76705/1/FS%202018%2056%20-%20IR.pdf
_version_	1747813176002478080

Iterative methods for solving nonlinear equations with multiple zeros

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