Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638887 | Journal of Computational and Applied Mathematics | 2014 | 10 Pages |
Abstract
In this article we present sixth order methods developed by extending third order methods of Herceg and Herceg (2013) for solving nonlinear equations. The methods require only four function evaluations per iteration. In this regard the efficiency index of our methods is 61/4â1.56508. Considered methods are based on Stolarsky and Gini means and depend on two parameters. Sixth order convergence of considered methods is proved, and corresponding asymptotic error constants are expressed in terms of two parameters. Numerical examples, obtained using Mathematica with high precision arithmetic, are included to demonstrate convergence and efficacy of our methods. For some combinations of parameter values, the new sixth order methods produce very good results on tested examples, compared to the results produced by some of the sixth order methods existing in the related literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Djordje Herceg, Dragoslav Herceg,