New Three Step Iterative Method for Solving Nonlinear Equations Using Newton-Halley Method
Keywords:nonlinear equation, iterative method, Taylor expansion, Newtonâ€™s method, Halleyâ€™s method
In this paper, we present a new three step iterative method for solving solutions of the nonlinear equations in the form of . The new method is developed based on the 2nd order of Taylor series expansion with predictor-corrector technique and compared with the well-known existing methods. The comparison criterions number of iteration, reduction of the relative error graph and computational local order of convergence (CLOC). The propose method gives better results.
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