1
Department of Mathematics, Faculty of Science, Malayer University, Malayer,Iran
2
Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran
Abstract
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.
Mirzaee, F., & Hamzeh, A. (1970). Several-step to obtain derivative-free iterative methods for solving nonlinear equations. Journal of Advanced Mathematical Modeling, 2(2), 21-31.
MLA
Farshid Mirzaee; Afsun Hamzeh. "Several-step to obtain derivative-free iterative methods for solving nonlinear equations". Journal of Advanced Mathematical Modeling, 2, 2, 1970, 21-31.
HARVARD
Mirzaee, F., Hamzeh, A. (1970). 'Several-step to obtain derivative-free iterative methods for solving nonlinear equations', Journal of Advanced Mathematical Modeling, 2(2), pp. 21-31.
VANCOUVER
Mirzaee, F., Hamzeh, A. Several-step to obtain derivative-free iterative methods for solving nonlinear equations. Journal of Advanced Mathematical Modeling, 1970; 2(2): 21-31.
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