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An efficient optimal family of sixteenth order methods for nonlinear models
(Journal of Computational and Applied Mathematics, 2018)
The principle aim of this manuscript is to propose a general scheme that can be applied to any optimal iteration function of order eight whose first substep employ Newton’s method to further develop new interesting optimal ...
An Overview on Steffensen-Type Methods
(Advances in iterative methods for nonlinear equations, 2016)
In this chapter we present an extensive overview of Steffensen-type methods. We first present the real study of the methods and then we present the complex dynamics related this type of methods applied to different ...
Convergence and Dynamics of a Higher-Order Method
(Symmetry, 2020-03)
Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, and engineering, to mention a few, reduces to solving an equation. Its solution is one of the greatest challenges. It involves ...
Convergence and the dynamics of Chebyshev-Halley type methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we present a weak convergence analysis and the dynamics of Chebyshev–Halley type methods.
Convergence and dynamics of a higher order family of iterative methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)
In this chapter we study the convergence as well as the dynamics of some high convergence order family of iterative methods.