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NEW DERIVATIVE FREE ITERATIVE METHOD FOR SOLVING NON-LINEAR EQUATIONS

Journal: Academic Research International (Vol.2, No. 1)

Publication Date:

Authors : ;

Page : 117-123

Keywords : Nonlinear equations; Iterative methods; Two-step methods; Derivative free methods; Numerical examples.;

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Abstract

Several iterative methods have been proposed and analyzed in the literature for solving non-linear equation, f(x) = 0. Recently Wu et al have suggested derivative free method for solving non-linear equations. Other well-known methods with derivatives create numerical difficulties or fail to converge in neighborhood of the required root. In this paper, we propose and analyze two two-step derivative free algorithms. The numerical tests show that the new two-step algorithms are comparable with the existing algorithms and are successful in case where the existing algorithms fail to converge or have numerical difficulties

Last modified: 2013-08-30 12:32:48