A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS

الموضوعات : فصلنامه ریاضی

Farshid Mirzaee ¹ (Malayer University Iran, Islamic Republic of)
Afsun Hamzeh ² (Ireland)

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 20 الجمعة , جمادى الأولى, 1435

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.