An accelerated algorithm for finding roots of nonlinear equation

Abstract EN

This paper concerns with a new numerical iterative method for finding the approximate solutions deals with the nonlinear equations of a solar cell (single-diode) formula associated with equivalent electrical circuit.

The iterative method suggested here is free from second derivative of the function.

The present study proposes to show that this new root-finding algorithm combined with a standard iterative method is capable to give an accurate solution of zero's function than classical method.

Numerical experiments of the improved iterative method is analyzed and discussed on nonlinear equations.