A Newton Type Iterative Method with Fourth-order Convergence
Keywords:Newton method, Nonlinear equations, Iterative method, Order of convergence, Secant method
The aim of this paper is to propose a fourth-order Newton type iterative method for solving nonlinear equations in a single variable. We obtained this method by combining the iterations of contra harmonic Newton’s method with secant method. The proposed method is free from second order derivative. Some numerical examples are given to illustrate the performance and to show this method’s advantage over other compared methods.
Journal of the Institute of Engineering, 2016, 12 (1): 87-95
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