Ali Hasan Ali

New Family of Two-Step Iterative Methods Based on Heron Mean for Solving Nonlinear Equations

     In this paper, we propose and analyze a new one-parameter family of two-step iterative methods without requiring higher derivatives for solving nonlinear equations. This family is constructed based on a Newton-type method utilizing the Heron mean, a predictor-corrector technique, and an appropriate choice of deriv...