Department of Mathematics, Faculty of Science, Malayer University, Malayer,Iran
Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran
In this paper, we consider and analyze several-step iterative methods for solving nonlinear equations. . This method is based on a direct Newtonian interpolation of the function and modified Adomian’s decomposition. We prove the important fact that methods obtained preserve their convergence order 3, without calculating any derivatives. Some numerical illustrations are given to show the efficiency of algorithms.