New Three Step Iterative Method for Solving Nonlinear Equations Using Newton-Halley Method

Authors

Keywords:

nonlinear equation, iterative method, Taylor expansion, Newton’s method, Halley’s method

Abstract

In this paper, we present a new three step iterative method for solving solutions of the nonlinear equations in the form of . The new method is developed based on the 2nd order of Taylor series expansion with predictor-corrector technique and compared with the well-known existing methods. The comparison criterions number of iteration, reduction of the relative error graph and computational local order of convergence (CLOC). The propose method gives better results.

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Published

2018-04-21

How to Cite

Neamvonk, A. (2018). New Three Step Iterative Method for Solving Nonlinear Equations Using Newton-Halley Method. Asian Journal of Applied Sciences, 6(2). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/5243

Issue

Vol. 6 No. 2 (2018): April 2018

Section

Articles

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