AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

الموضوعات : فصلنامه ریاضی

M. Matinfar ¹ (Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics)
M. Aminzadeh ² (Faculty of Sciences, Mazandaran University, Iran Iran, Islamic Republic of Department of Mathematics)

تاريخ الإرسال : 07 الخميس , رجب, 1437 تاريخ التأكيد : 07 الخميس , رجب, 1437 تاريخ الإصدار : 08 الجمعة , صفر, 1434

الکلمات المفتاحية: Nonline ar equation, ite rative metho d, Two- step, Con- vergence orde r, Effic iency index,

ملخص المقالة :

Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and other methods.