A MODIFIED STEFFENSEN'S METHOD WITH MEMORY FOR NONLINEAR EQUATIONS

محورهای موضوعی : فصلنامه ریاضی

Farhad Khaksar Haghani ¹

1 - Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran Iran, Islamic Republic of

تاریخ دریافت : 1395/01/27 تاریخ پذیرش : 1395/01/27 تاریخ انتشار : 1394/01/01

کلید واژه: Root, Steffensen's method, order, with memory,

چکیده مقاله :

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.