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