A Newton Type Iterative Method with Fourth-order Convergence

Authors

  • Jivandhar Jnawali Department of Mathematics, Ratna Rajyalaxmi Campus, Tribhuvan University, Kathmandu

Keywords:

Newton method, Nonlinear equations, Iterative method, Order of convergence, Secant method

Abstract

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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Published

2017-03-06

How to Cite

A Newton Type Iterative Method with Fourth-order Convergence. (2017). Journal of the Institute of Engineering, 12(1), 87-95. https://doi.org/10.3126/jie.v12i1.16729

Issue

Vol. 12 No. 1 (2016)

Section

Articles

License

The Copyright is held by Journal of the Institute of Engineering, IOE, TU

How to Cite

A Newton Type Iterative Method with Fourth-order Convergence. (2017). Journal of the Institute of Engineering, 12(1), 87-95. https://doi.org/10.3126/jie.v12i1.16729