A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
Subject Areas : International Journal of Mathematical Modelling & Computations
Farshid Mirzaee
1
(
Malayer University
Iran, Islamic Republic of
)
Afsun Hamzeh
2
(
Ireland
)
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.