Abstract:
In this paper, we present two new iteration methods to find the
solutions of nonlinear equations, which were developed from a concept
of Obadah [10] and Taylor’s Series to estimate the second derivative.
Analysis of its convergence shows that the order of convergence of the
modified iterative method is four, for a simple root of the equation.
Finally, to illustrate the efficiency and performance of the proposed
method, we give some numerical experiments and comparison.