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A family of third order iterative methods for solving nonlinear equations free of second derivative

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Main Authors: Muhammad Shakur, Ndayawo, Babangida Sani
Other Authors: nmshakurn@kadunapolytechnic.edu.ng
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP) 2023
Subjects:
ANOVA
Iterative methods
Nonlinear equations
Order of Convergence
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77656
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spelling my.unimap-776562023-01-12T03:44:10Z A family of third order iterative methods for solving nonlinear equations free of second derivative Muhammad Shakur, Ndayawo Babangida Sani Muhammad Shakur, Ndayawo nmshakurn@kadunapolytechnic.edu.ng Department of Mathematics and Statistics, Kaduna Polytechnic, Kaduna Nigeria Department of Mathematics, Ahmadu Bello University Zaria, Nigeria ANOVA Iterative methods Nonlinear equations Order of Convergence Link to publisher's homepage at https://amci.unimap.edu.my/ In this paper, we proposed and analysed a family of iterative methods for solving nonlinear problems. The methods have been developed by applying Adomian decomposition method to Taylor’s series expansion. Using one-way ANOVA, the methods are compared with other existing methods in terms of number of iterations and solution to convergence between the individual methods used. Numerical examples are used in the comparison to justify the efficiency of the new iterative methods. 2023-01-12T03:44:10Z 2023-01-12T03:44:10Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 197-216 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77656 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP)
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic ANOVA
Iterative methods
Nonlinear equations
Order of Convergence
spellingShingle ANOVA
Iterative methods
Nonlinear equations
Order of Convergence
Muhammad Shakur, Ndayawo
Babangida Sani
Muhammad Shakur, Ndayawo
A family of third order iterative methods for solving nonlinear equations free of second derivative
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 nmshakurn@kadunapolytechnic.edu.ng
author_facet nmshakurn@kadunapolytechnic.edu.ng
Muhammad Shakur, Ndayawo
Babangida Sani
Muhammad Shakur, Ndayawo
format Article
author Muhammad Shakur, Ndayawo
Babangida Sani
Muhammad Shakur, Ndayawo
author_sort Muhammad Shakur, Ndayawo
title A family of third order iterative methods for solving nonlinear equations free of second derivative
title_short A family of third order iterative methods for solving nonlinear equations free of second derivative
title_full A family of third order iterative methods for solving nonlinear equations free of second derivative
title_fullStr A family of third order iterative methods for solving nonlinear equations free of second derivative
title_full_unstemmed A family of third order iterative methods for solving nonlinear equations free of second derivative
title_sort family of third order iterative methods for solving nonlinear equations free of second derivative
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP)
publishDate 2023
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77656
_version_ 1772813081377767424
score 13.214268

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