A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS

Mirzaee, Farshid; Hamzeh, Afsun

Manuscript ID : 521850 Visit : 529 Page: 55 - 60

Article Type: Original Research

A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

Farshid Mirzaee ¹ , Afsun Hamzeh ²

1 - Malayer University Iran, Islamic Republic of
2 - Ireland

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

Keywords: convergence, Iterative method, Nonlinear Equations, Numerical examples,

Abstract :

In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new method.

References:

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A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS