A Third Order Method for Solving Nonlinear Equations
Parvaneh F. and Ghanbari B.* Author for corresponding; e-mail address: begh@yahoo.com
Volume :Vol.44 No.3 (July 2017)
Research Article
DOI:
Received: 11 December 2014, Revised: -, Accepted: 14 May 2015, Published: -
Citation: F. P. and B. G., A Third Order Method for Solving Nonlinear Equations, Chiang Mai Journal of Science, 2017; 44(3): 1154-1162.
Abstract
This paper present a third-order family of methods for finding multiple roots of nonlinear. The family requires one-functionand two-derivative evaluation per iteration. These families contain several known third-order methods as special cases. Several numerical examples confirm that the presented methods can be cempetitive to other known methods.
Keywords:
newton's method, multiple roots, iterative schemes, nonlinear equations, efficiency index