A Variant of Chebyshev’s Method with 3<i>α</i>th-Order of Convergence by Using Fractional Derivatives

A Variant of Chebyshev’s Method with 3<i>α</i>th-Order of Convergence by Using Fractional Derivatives

In this manuscript, we propose several iterative methods for solving nonlinear equations whose common origin is the classical Chebyshev&#8217;s method, using fractional derivatives in their iterative expressions. Due to the symmetric duality of left and right derivatives, we work with right-hand...

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Bibliographic Details
Main Authors: Alicia Cordero, Ivan Girona, Juan R. Torregrosa
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Symmetry
Subjects:
nonlinear equations
Chebyshev’s iterative method
fractional derivative
basin of attraction
Online Access:https://www.mdpi.com/2073-8994/11/8/1017

Internet

https://www.mdpi.com/2073-8994/11/8/1017

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