A new iterative with memory class for solving nonlinear ‎equations‎

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

P. ‎Bassiri‎ ¹ , P. Bakhtiari‎‎ ² , S. Abbasbandy‎ ³

1 - Department of Mathematics, Payame Noor University (PNU), P. O. Box, 19395-3697, Tehran, Iran.
2 - Young Researchers and Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
3 - Department of Mathematics, Imam Khomeini International University, Ghazvin, 34149-16818, Iran.

تاریخ دریافت : 1395/06/01 تاریخ پذیرش : 1395/06/01 تاریخ انتشار : 1395/05/11

کلید واژه: Multi-step methods, Nonlinear equations, Optimal order, Methods with memory, Kung-Traub's ‎conjecture.‎,

چکیده مقاله :

In this work we develop a new optimal without memory class for approximating a simple root of a nonlinear equation. This class includes three parameters. Therefore, we try to derive some with memory methods so that the convergence order increases as high as possible. Some numerical examples are also ‎presented.‎‎