In the paper, we convert a single nonlinear equation to a system consisting of two equations.
While a quasi-linear term is added on the first equation, the nonlinear term in the second …

An optimal method is developed for approximating the multiple zeros of a nonlinear function,
when the multiplicity is known. Analysis of convergence for the proposed technique is …

In the fields of numerical analysis and applied science, approximating the roots of nonlinear
equations is a fundamental and intriguing challenge. With the rapid advancement of …

In this paper, we describe iterative derivative-free algorithms for multiple roots of a nonlinear
equation. Many researchers have evaluated the multiple roots of a nonlinear equation using …

In this paper, we propose and discuss a new higher-order iterative method for solving
nonlinear equations. This method based on a Halley and Householder iterative method and …

The aim of this paper is generalization fourth order Jarratt formula iterative methods for
solving system of nonlinear equations (SNLE) of n-dimension with n-variables. We present …

In the paper, two nonlinear variants of the Newton method are developed for solving
nonlinear equations. The derivative-free nonlinear fractional type of the one-step iterative …

In this paper, we suggest and analyze a new two-step predictor-corrector type iterative
method for solving nonlinear equations of the type () 0 fx=. This method based on a Halley …

In the study of systems' dynamics the presence of symmetry dramatically reduces the
complexity, while in chemistry, symmetry plays a central role in the analysis of the structure …

In this paper, we suggested and analyzed a new higher-order iterative algorithm for solving
nonlinear equation g (x)= 0 g (x)= 0, g: R ⟶ R g: R⟶ R, which is free from derivative by using …