A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
الموضوعات : فصلنامه ریاضیFarshid Mirzaee 1 , Afsun Hamzeh 2
1 - Malayer University
Iran, Islamic Republic of
2 - Ireland
الکلمات المفتاحية: convergence, Iterative method, Nonlinear Equations, Numerical examples,
ملخص المقالة :
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.
