In this study, a three-point iterative method for solving nonlinear equations is presented. The
purpose is to upgrade a fourth order iterative method by adding one Newton step and using …

Nonlinear phenomena occur in diverse fields such as science, engineering and business.
Research within computational science is continuously advancing, characterized by the …

Its most important task in numerical analysis to find roots of nonlinear equations, several
methods already exist in literature to find roots but in this paper, we introduce a unique idea …

In this study, we introduced a new family of two-and three-step iterative methods for solving
non-linear equations. The proposed methods adhere to the Kung and Traub conjecture …

The purpose of this paper is to propose new modified Newton's method for solving nonlinear
equations and free from second derivative. Convergence results show that the order of …

We construct a family of two-step optimal fourth order iterative methods for finding single root
of non-linear equations. We generalize these methods to simultaneous iterative methods for …

In this paper, we proposed a three-point iterative method for finding the simple roots of non-
linear equations via mid-point and interpolation approach. The method requires one …