THIRD-ORDER AND FOURTH-ORDER ITERATIVE METHODS FREE FROM SECOND DERIVATIVE FOR FINDING MULTIPLE ROOTS OF NONLINEAR EQUATIONS

Document Type: Research articles

Authors

1 Department of Mathematics, Yazd University, Yazd-IRAN.

2 Yazd Univ

Abstract

In this paper, we present two new families of third-order and fourth-order methods for finding
multiple roots of nonlinear equations. Each of them requires one evaluation of the function and
two of its first derivative per iteration. Several numerical examples are given to illustrate the
performance of the presented methods.
 
 

Keywords