METODE ITERASI TANPA TURUNAN BERDASARKAN EKSPANSI TAYLOR UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

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2014-03-25

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Abstract

This paper discusses free derivative iterative methods based on a Taylor expansion to solve a nonlinear equation. It is analytically shown that the methods are the third order. Numerical comparisons among the proposed iterative methods, Chebyshev method, Halley method, and Chebyshev-Halley method show that the proposed methods are better in performance, in terms of succeeding in obtaining the root.

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Chebyshev method, Halley method, Chebyshev-Halley method, free deriva- tive iterative method, nonlinear equation

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