NEW DERIVATIVE FREE ITERATIVE METHOD FOR SOLVING NON-LINEAR EQUATIONS
Journal Title: Academic Research International - Year 2012, Vol 2, Issue 1
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.
Authors and Affiliations
Farooq Ahmad, Sifat Hussain, Muhammad Raza
Keywords
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