This study aims to find a solution to the symmetry chaotic jerk system by using a new ABC-
FD scheme and the NILM method. The findings of the supplied methods have been …

The use of complex dynamics tools in order to deepen the knowledge of qualitative
behaviour of iterative methods for solving non-linear equations is a growing area of research …

In this manuscript, we introduce the higher-order optimal derivative-free family of Chebyshev–
Halley's iterative technique to solve the nonlinear equation having the multiple roots. The …

In this manuscript, we propose a parametric family of iterative methods of fourth-order
convergence, and the stability of the class is studied through the use of tools of complex …

There is a very small number of higher-order iteration functions for multiple zeros whose
order of convergence is greater than four. Some scholars have tried to propose optimal …

We construct an optimal eighth-order scheme which will work for multiple zeros with
multiplicity (m≥ 1), for the first time. Earlier, the maximum convergence order of multi-point …

In this paper, we propose a family of optimal eighth order convergent iterative methods for
multiple roots with known multiplicity with the introduction of two free parameters and three …

A class of two-point quartic-order simple-zero finders and their dynamics are investigated in
this paper by extending King's fourth-order family of methods. With the introduction of an …

Complex dynamics tools applied on the rational functions resulting from a parametric family
of roots solvers for nonlinear equations provide very useful results that have been stated in …

We have a good number of eighth-order iterative methods for simple zeros of nonlinear
equations in the available literature. But, unfortunately, we don't have a single iterative …