METODE ITERASI BARU DENGAN ORDE KEKONVERGENAN EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

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2022-12

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Elfitra

Abstract

This article project proposes a new iteration method to be formed by using Taylor expansion and derivative approximation for solving nonlinear equations with convergence order is four and efficiency index is 1.4142. This method succeeds in finding the expected nearly root with a known initial value, while the comparison method fails to find the nearly root even with the same convergence order. This method may be used as an alternative method for solving nonlinear equations.

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Order of convergence, Newton method, derivatives approximation, nonlinear equations

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