| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4635020 | Applied Mathematics and Computation | 2007 | 6 Pages |
Abstract
In this paper, we suggest and analyze a new two-step predictor-corrector type iterative method free from second derivatives for solving nonlinear equations of the type f(x)=0. This new method includes the two-step Newton method as a special case. We prove that the new iterative method is of fourth-order. Several examples are given to illustrate the efficiency of this new method and its comparison with other iterative 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
Authors
Muhammad Aslam Noor, Vijay Gupta,