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Axioms 2019, 8(1), 15; https://doi.org/10.3390/axioms8010015

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

1,*,†
and
2,†
1
Faculty of Economics and Business Administration, Sofia University St. Kliment Ohridski, Sofia 1113, Bulgaria
2
Kolej Dobrich, Konstantin Preslavsky University of Shumen, Shumen 9712, Bulgaria
*
Author to whom correspondence should be addressed.
This work was carried out in collaboration between both authors. Both authors read and approved the final manuscript.
Received: 25 December 2018 / Revised: 26 January 2019 / Accepted: 28 January 2019 / Published: 31 January 2019
Full-Text   |   PDF [239 KB, uploaded 31 January 2019]   |   Review Reports

Abstract

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. View Full-Text
Keywords: Kou’s interval method; Newton’s interval method; Ostrowski’s interval method; INTLAB; MATLAB Kou’s interval method; Newton’s interval method; Ostrowski’s interval method; INTLAB; MATLAB
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ivanov, I.G.; Mateva, T. Interval Methods with Fifth Order of Convergence for Solving Nonlinear Scalar Equations. Axioms 2019, 8, 15.

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