A New Three Step Iterative Method without Second Derivative for Solving Nonlinear Equations | ||
| Baghdad Science Journal | ||
| Article 1, Volume 12, Issue 3, September 2015, Pages 632-637 | ||
| Author | ||
| Raghad I. Sabri | ||
| Abstract | ||
| In this paper , an efficient new procedure is proposed to modify third –order iterative method obtained by Rostom and Fuad [Saeed. R. K. and Khthr. F.W. New third –order iterative method for solving nonlinear equations. J. Appl. Sci .7(2011): 916-921] , using three steps based on Newton equation , finite difference method and linear interpolation. Analysis of convergence is given to show the efficiency and the performance of the new method for solving nonlinear equations. The efficiency of the new method is demonstrated by numerical examples. | ||
| Keywords | ||
| nonlinear equations; Newton method; iterative method; Three; step method; order of convergence | ||
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