Two Higher Order Iterative Methods for Solving Nonlinear Equations
Keywords:Newton's method, Secant method, Iterative method, Nonlinear equation, Order of convergence
The main purpose of this paper is to derive two higher order iterative methods for solving nonlinear equations as variants of Mir, Ayub and Rafiq method. These methods are free from higher order derivatives. We obtain these methods by amalgamating Mir, Ayub and Rafiq method with standard secant method and modified secant method given by Amat and Busquier. The order of convergence of new variants are four and six. Also, numerical examples are given to compare the performance of newly introduced methods with the similar existing methods.
2010 AMS Subject Classification: 65H05
Journal of the Institute of Engineering, 2018, 14(1): 179-187
How to Cite
The Copyright is held by Journal of the Institute of Engineering, IOE, TU