Three-Step Iterative Methods with Sixth-Order Convergence for Solving Nonlinear Equations

Behzad GHANBARI

Authors

Behzad GHANBARI Department of Mathematics, Kermanshah University of Technology, Kermanshah

Keywords:

Iterative methods, Simple-zero of nonlinear equations, Newton’s method

Abstract

In this paper, we develop new families of sixth-order methods for solving simple zeros of non-linear equations. These methods are constructed such that the convergence is of order six. Each member of the families requires two evaluations of the given function and two of its derivative per iteration. These methods have more advantages than Newton’s method and other methods with the same convergence order, as shown in the illustration examples.

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Author Biography

Behzad GHANBARI, Department of Mathematics, Kermanshah University of Technology, Kermanshah

Department of Mathematics

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