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Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]

A root-finding process is a process for finding zeroes of continuous functions and provide approximations to the roots, which are represented as small isolating intervals or as floating-point integers. One of the most prevalent problems encountered in the root finding process is the rapidity of conv...

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Main Authors: Shahari, Nor Azni, Azlan, Maizatur Najihah, Mohd Abd Razak, Siti Nuramyra, Mohamad, Nurain Nadhirah
Format: Article
Language:English
Published: Universiti Teknologi MARA, Negeri Sembilan 2022
Subjects:
AP Periodicals
Equations
Mathematical statistics. Probabilities
Online Access:https://ir.uitm.edu.my/id/eprint/72578/2/72578.pdf
https://ir.uitm.edu.my/id/eprint/72578/
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id my.uitm.ir.72578
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spelling my.uitm.ir.725782023-01-19T04:01:45Z https://ir.uitm.edu.my/id/eprint/72578/ Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.] Shahari, Nor Azni Azlan, Maizatur Najihah Mohd Abd Razak, Siti Nuramyra Mohamad, Nurain Nadhirah AP Periodicals Equations Mathematical statistics. Probabilities A root-finding process is a process for finding zeroes of continuous functions and provide approximations to the roots, which are represented as small isolating intervals or as floating-point integers. One of the most prevalent problems encountered in the root finding process is the rapidity of convergence rate to the actual root and the accuracy of the root approximation. However, the procedure is dependent on the initial estimate, neither stability nor convergence are guaranteed. Mathematicians and scientists have used Newton’s Method, an iterative methodology, for centuries to find the solution to nonlinear equations. While there is an alternative numerical method for determining the roots of nonlinear function, such as Secant methods and Bisection methods, the Newton’s Method is by far the most popular among academia and industry owing to its quick convergence rate. Based on many research publications, Newton’s Method converges quickly in comparison to the other methods (for example see: Akram and Ann (2015), Azure et al. (2019), Mehtre and Singh (2019)). This was clearly seen in the number of iterations taken by each of the methods to converge to the exact solution. Universiti Teknologi MARA, Negeri Sembilan 2022-11 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/72578/2/72578.pdf Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]. (2022) Mathematics in Applied Research, 3: 5. pp. 18-22. ISSN 2811-4027
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 AP Periodicals
Equations
Mathematical statistics. Probabilities
spellingShingle AP Periodicals
Equations
Mathematical statistics. Probabilities
Shahari, Nor Azni
Azlan, Maizatur Najihah
Mohd Abd Razak, Siti Nuramyra
Mohamad, Nurain Nadhirah
Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]
description A root-finding process is a process for finding zeroes of continuous functions and provide approximations to the roots, which are represented as small isolating intervals or as floating-point integers. One of the most prevalent problems encountered in the root finding process is the rapidity of convergence rate to the actual root and the accuracy of the root approximation. However, the procedure is dependent on the initial estimate, neither stability nor convergence are guaranteed. Mathematicians and scientists have used Newton’s Method, an iterative methodology, for centuries to find the solution to nonlinear equations. While there is an alternative numerical method for determining the roots of nonlinear function, such as Secant methods and Bisection methods, the Newton’s Method is by far the most popular among academia and industry owing to its quick convergence rate. Based on many research publications, Newton’s Method converges quickly in comparison to the other methods (for example see: Akram and Ann (2015), Azure et al. (2019), Mehtre and Singh (2019)). This was clearly seen in the number of iterations taken by each of the methods to converge to the exact solution.
format Article
author Shahari, Nor Azni
Azlan, Maizatur Najihah
Mohd Abd Razak, Siti Nuramyra
Mohamad, Nurain Nadhirah
author_facet Shahari, Nor Azni
Azlan, Maizatur Najihah
Mohd Abd Razak, Siti Nuramyra
Mohamad, Nurain Nadhirah
author_sort Shahari, Nor Azni
title Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]
title_short Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]
title_full Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]
title_fullStr Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]
title_full_unstemmed Root finding for non linear equation based on improvement Newton’s method / Nor Azni Shahari ... [et al.]
title_sort root finding for non linear equation based on improvement newton’s method / nor azni shahari ... [et al.]
publisher Universiti Teknologi MARA, Negeri Sembilan
publishDate 2022
url https://ir.uitm.edu.my/id/eprint/72578/2/72578.pdf
https://ir.uitm.edu.my/id/eprint/72578/
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score 13.211869

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