Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations

Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations

In this paper, based on Kou’s classical iterative methods with fifth-order of convergence, we propose new interval iterative methods for computing a real root of the nonlinear scalar equations. Some numerical experiments have executed with the program INTLAB in order to confirm the theoret...

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Main Authors: Ivan G. Ivanov, Tonya Mateva
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Axioms
Subjects:
Kou’s interval method
Newton’s interval method
Ostrowski’s interval method
INTLAB
MATLAB
Online Access:https://www.mdpi.com/2075-1680/8/1/15
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spelling doaj-10c983ae7b1b45d6bfc6c40f72a8034a2020-11-24T21:46:32ZengMDPI AGAxioms2075-16802019-01-01811510.3390/axioms8010015axioms8010015Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar EquationsIvan G. Ivanov0Tonya Mateva1Faculty of Economics and Business Administration, Sofia University St. Kliment Ohridski, Sofia 1113, BulgariaKolej Dobrich, Konstantin Preslavsky University of Shumen, Shumen 9712, BulgariaIn this paper, based on Kou’s classical iterative methods with fifth-order of convergence, we propose new interval iterative methods for computing a real root of the nonlinear scalar equations. Some numerical experiments have executed with the program INTLAB in order to confirm the theoretical results. The computational results have described and compared with Newton’s interval method, Ostrowski’s interval method and Ostrowski’s modified interval method. We conclude that the proposed interval schemes are effective and they are comparable to the classical interval methods.https://www.mdpi.com/2075-1680/8/1/15Kou’s interval methodNewton’s interval methodOstrowski’s interval methodINTLABMATLAB
collection DOAJ
language English
format Article
sources DOAJ
author Ivan G. Ivanov
Tonya Mateva
spellingShingle Ivan G. Ivanov
Tonya Mateva
Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations
Axioms
Kou’s interval method
Newton’s interval method
Ostrowski’s interval method
INTLAB
MATLAB
author_facet Ivan G. Ivanov
Tonya Mateva
author_sort Ivan G. Ivanov
title Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations
title_short Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations
title_full Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations
title_fullStr Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations
title_full_unstemmed Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations
title_sort interval methods with fifth order of convergence for solving nonlinear scalar equations
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2019-01-01
description In this paper, based on Kou’s classical iterative methods with fifth-order of convergence, we propose new interval iterative methods for computing a real root of the nonlinear scalar equations. Some numerical experiments have executed with the program INTLAB in order to confirm the theoretical results. The computational results have described and compared with Newton’s interval method, Ostrowski’s interval method and Ostrowski’s modified interval method. We conclude that the proposed interval schemes are effective and they are comparable to the classical interval methods.
topic Kou’s interval method
Newton’s interval method
Ostrowski’s interval method
INTLAB
MATLAB
url https://www.mdpi.com/2075-1680/8/1/15
work_keys_str_mv AT ivangivanov intervalmethodswithfifthorderofconvergenceforsolvingnonlinearscalarequations
AT tonyamateva intervalmethodswithfifthorderofconvergenceforsolvingnonlinearscalarequations
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