Article ID Journal Published Year Pages File Type
4635002 Applied Mathematics and Computation 2007 6 Pages PDF
Abstract

In this paper, we suggest and analyze a new two-step predictor–corrector type iterative method for solving nonlinear equations of the type f(x)=0f(x)=0. This new method includes the two-step Newton method as a special case. We show that this new two-step method is a sixth-order convergent method. Several examples are given to illustrate the efficiency of this new method and its comparison with other sixth-order methods. This method can be considered as a significant improvement of the Newton method and its variant forms.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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