An efficient three-step iterative method with sixth-order convergence for solving nonlinear equations

Abstract

In this paper, we present a new three-step predictor corrector type iterative method for finding simple and real roots of nonlinear equations in a single variable. Experiments show that the new method is more efficient than the well known methods available in the literature. Comparison tables are given demonstrating the importance of the proposed approach.

Keywords:

• Convergence order
• Three-step methods
• Nonlinear equations
• Numerical examples