A new iterative with memory class for solving nonlinear ‎equations‎

الموضوعات : International Journal of Industrial Mathematics

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.

تاريخ الإرسال : 19 الإثنين , ذو القعدة, 1437 تاريخ التأكيد : 19 الإثنين , ذو القعدة, 1437 تاريخ الإصدار : 27 الإثنين , شوال, 1437

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

ملخص المقالة :

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.‎‎