a sixth order method for solving nonlinear equations
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abstract
in this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. periteration this method requires three evaluations of the function and one evaluation of its first derivative. a general error analysis providing the eighth order of convergence is given. several numerical examples are given to illustrate the efficiency and performance of the new method.
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A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new ...
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in this study, we modify an iterative non-optimal without memory method, in such a way that is becomes optimal. therefore, we obtain convergence order eight with the some functional evaluations. to justify our proposed method, some numerical examples are given.
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Journal title:
international journal of mathematical modelling and computationsجلد ۴، شماره ۱ (WINTER)، صفحات ۵۵-۶۰
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