METODE ITERASI BEBAS TURUNAN DENGAN TEKNIK SPLITTING UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
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Date
2023-11
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Elfitra
Abstract
This article discusses a new iterative method that is derivative-free and is obtained
by converting a single nonlinear equation to a system consisting of two equations.
By using the splitting method, a sufficient conditions will be obtained that must be
met for the convergence of this method. The convergence analysis shows that the
proposed method has a third order convergence for certain parameters. Numerical
comparisons between the proposed method and some other third order methods
using several examples shows that the proposed method can be used as an alternative
method for solving nonlinear equation.
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Keywords
nonlinear equation, derivative-free, splitting method, iterative method, order of convergence
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