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Third order convergence iterative method for multiple roots of nonlinear equation

We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a t...

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Main Authors: Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Salimi, Mehdi, Ismail, Fudziah
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2019
Online Access:http://psasir.upm.edu.my/id/eprint/70685/1/5.pdf
http://psasir.upm.edu.my/id/eprint/70685/
http://einspem.upm.edu.my/journal/fullpaper/vol13sapril/5.pdf
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spelling my.upm.eprints.706852019-09-06T02:43:34Z http://psasir.upm.edu.my/id/eprint/70685/ Third order convergence iterative method for multiple roots of nonlinear equation Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a third order method. Numerical experiments exhibit that our method gives the smallest error of bound per iteration and it is highly accurate as compared to other existing iterative methods. Universiti Putra Malaysia Press 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/70685/1/5.pdf Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Ismail, Fudziah (2019) Third order convergence iterative method for multiple roots of nonlinear equation. Malaysian Journal of Mathematical Sciences, 13 (spec. Apr.). pp. 51-59. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol13sapril/5.pdf
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. Our present method free from second derivative function. Error term is proved to possess a third order method. Numerical experiments exhibit that our method gives the smallest error of bound per iteration and it is highly accurate as compared to other existing iterative methods.
format Article
author Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Ismail, Fudziah
spellingShingle Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Ismail, Fudziah
Third order convergence iterative method for multiple roots of nonlinear equation
author_facet Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Ismail, Fudziah
author_sort Jamaludin, Nur Alif Akid
title Third order convergence iterative method for multiple roots of nonlinear equation
title_short Third order convergence iterative method for multiple roots of nonlinear equation
title_full Third order convergence iterative method for multiple roots of nonlinear equation
title_fullStr Third order convergence iterative method for multiple roots of nonlinear equation
title_full_unstemmed Third order convergence iterative method for multiple roots of nonlinear equation
title_sort third order convergence iterative method for multiple roots of nonlinear equation
publisher Universiti Putra Malaysia Press
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/70685/1/5.pdf
http://psasir.upm.edu.my/id/eprint/70685/
http://einspem.upm.edu.my/journal/fullpaper/vol13sapril/5.pdf
_version_ 1646008945089708032
score 13.160551

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