A MODIFIED STEFFENSEN'S METHOD WITH MEMORY FOR NONLINEAR EQUATIONS

الموضوعات : فصلنامه ریاضی

Farhad Khaksar Haghani ¹ (Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran Iran, Islamic Republic of)

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 01 السبت , جمادى الثانية, 1436

الکلمات المفتاحية: Root, Steffensen's method, order, with memory,

ملخص المقالة :

In this note, we propose a modification of Steffensen's method with some free parameters. These parameters are then be used for further acceleration via the concept of with memorization. In this way, we derive a fast Steffensen-type method with memory for solving nonlinear equations. Numerical results are also given to support the underlying theory of the article.