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Fifth-order predictor-corrector method free from second derivative for nonlinear equation
by
waseem Asghar Khan
CIIT Islamabad , Pakistan
Coauthors: Muhammad Aslam Noor
In this paper, we suggest and analyze a new two-step predictor-corrector type iterative method free from second derivative for solving nonlinear equations of the type . This new method includes the two-step Newton method as a special case. We prove that the new iterative method is of fifth-order. Several examples are given to illustrate the efficiency and the performance of this new method and it comparison with other iterative methods. This method can be considered as a significant improvement of the Newton method and its variant forms
Date received: February 11, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawq-05.