An Accelerated Algorithm for Finding Roots of Nonlinear Equation

Abstract

This paper concerns with a new numerical iterative method for finding the approximatesolutions deals with the nonlinear equations of a solar cell (single-diode) formula associatedwith equivalent electrical circuit. The iterative method suggested here is free from secondderivative of the function. The present study proposes to show that this new root-findingalgorithm combined with a standard iterative method is capable to give an accurate solutionof zero's function than classical method. Numerical experiments of the improved iterativemethod is analyzed and discussed on nonlinear equations.