TY - JOUR
ID - 102771
TI - A class of efficient derivative free iterative method with and without memory for solving nonlinear equations
JO - Computational Mathematics and Computer Modeling with Applications (CMCMA)
JA - CMCMA
LA - en
SN -
AU - Erfanifar, Raziyeh
AD - Faculty of Mathematics and Statistics, Malayer University, Malayer, Iran.
Y1 - 2022
PY - 2022
VL - 1
IS - 2
SP - 20
EP - 26
KW - Nonlinear equations
KW - Two-step methods
KW - Efficiency index
KW - Order of convergence
KW - Simple root
KW - Iterative method with memory
DO - 10.52547/CMCMA.1.2.20
N2 - In the present paper, at first, we propose a new two-step iterative method for solving nonlinear equations. This scheme is based on the Steffensen's method, in which the order of convergence is four. This iterative method requires only three functions evaluation in each iteration, therefore it is optimal in the sense of the Kung and Traub conjecture. Then we extend it to the method with memory, which the order of convergence is six. Finally, numerical examples indicate that theobtained methods in terms of accuracy and computational cost are superior to thefamous forth-order methods.
UR - https://cmcma.sbu.ac.ir/article_102771.html
L1 - https://cmcma.sbu.ac.ir/article_102771_0c6fc87358b555518d78b49822fda387.pdf
ER -