Cover Image

New third order convergence iterative method for finding multiple roots of nonlinear equations

In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performa...

Full description

Saved in:
Bibliographic Details
Main Authors: Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Salimi, Mehdi, Ismail, Fudziah
Format: Article
Language:English
Published: Malaysian Mathematical Sciences Society and Universiti Putra Malaysia 2018
Online Access:http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf
http://psasir.upm.edu.my/id/eprint/75076/
http://einspem.upm.edu.my/ojs/index.php/dismath/article/view/20
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.upm.eprints.75076
record_format eprints
spelling my.upm.eprints.750762019-11-28T05:38:01Z http://psasir.upm.edu.my/id/eprint/75076/ New third order convergence iterative method for finding multiple roots of nonlinear equations Jamaludin, Nur Alif Akid Nik Long, Nik Mohd Asri Salimi, Mehdi Ismail, Fudziah In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performance shows that the proposed method provides a highest accuracy results as compared to other existing third order iterative methods. Malaysian Mathematical Sciences Society and Universiti Putra Malaysia 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf Jamaludin, Nur Alif Akid and Nik Long, Nik Mohd Asri and Salimi, Mehdi and Ismail, Fudziah (2018) New third order convergence iterative method for finding multiple roots of nonlinear equations. Discovering Mathematics, 40 (2). 64 - 71. ISSN 2231-7023 http://einspem.upm.edu.my/ojs/index.php/dismath/article/view/20
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 In this paper, we derive a new modified third order convergence iterative methods for computing multiple roots of non-linear equations. Our proposed scheme requires one evaluation of function and two evaluations of first derivative. Error term is proved to possess a third order. Numerical performance shows that the proposed method provides a highest accuracy results as compared to other existing third order 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
New third order convergence iterative method for finding multiple roots of nonlinear equations
author_facet Jamaludin, Nur Alif Akid
Nik Long, Nik Mohd Asri
Salimi, Mehdi
Ismail, Fudziah
author_sort Jamaludin, Nur Alif Akid
title New third order convergence iterative method for finding multiple roots of nonlinear equations
title_short New third order convergence iterative method for finding multiple roots of nonlinear equations
title_full New third order convergence iterative method for finding multiple roots of nonlinear equations
title_fullStr New third order convergence iterative method for finding multiple roots of nonlinear equations
title_full_unstemmed New third order convergence iterative method for finding multiple roots of nonlinear equations
title_sort new third order convergence iterative method for finding multiple roots of nonlinear equations
publisher Malaysian Mathematical Sciences Society and Universiti Putra Malaysia
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/75076/1/New%20third.pdf
http://psasir.upm.edu.my/id/eprint/75076/
http://einspem.upm.edu.my/ojs/index.php/dismath/article/view/20
_version_ 1651869171999309824
score 13.18916

Similar Items