TY - JOUR ID - 10235 TI - Several-step to obtain derivative-free iterative methods for solving nonlinear equations JO - Journal of Advanced Mathematical Modeling JA - JAMM LA - en SN - 2251-8088 AU - Mirzaee, Farshid AU - Hamzeh, Afsun AD - Department of Mathematics, Faculty of Science, Malayer University, Malayer,Iran AD - Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran Y1 - 1970 PY - 1970 VL - 2 IS - 2 SP - 21 EP - 31 KW - Nonlinear equations KW - Newton’s method KW - Adomian’s decomposition method KW - Several step methods KW - Derivative free iterative methods DO - N2 - 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.                                 UR - https://jamm.scu.ac.ir/article_10235.html L1 - ER -