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 theoretical resul...

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Bibliographic Details
Published in:Axioms Vol. 8; no. 1; p. 15
Main Authors: Ivanov, Ivan, Mateva, Tonya
Format: Journal Article
Language:English
Published: Basel MDPI AG 2019
Subjects:
Approximation
Convergence
INTLAB
Iterative methods
Kou’s interval method
Mathematical analysis
MATLAB
Methods
Newton’s interval method
Ostrowski’s interval method
Theorems
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms8010015