Elsevier

Applied Mathematics Letters

Volume 25, Issue 2, February 2012, Pages 185-189
Applied Mathematics Letters

A new sixth-order scheme for nonlinear equations

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Abstract

In this paper we present a new efficient sixth-order scheme for nonlinear equations. The method is compared to several members of the family of methods developed by Neta (1979) [B. Neta, A sixth-order family of methods for nonlinear equations, Int. J. Comput. Math. 7 (1979) 157–161]. It is shown that the new method is an improvement over this well known scheme.

Keywords

Newton’s method
Iterative methods
Nonlinear equations
Order of convergence
Root-finding methods

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