METODE ITERASI MENGGUNAKAN KONSTRUKSI GEOMETRI UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

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Date

2023-02

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Elfitra

Abstract

This nal project discusses an iterative method that uses geometric construction to solve a nonlinear equation. The method is obtained by consructing the curve of a third degree monic polynomial function that approximates the curve of the nonlinear equation. The convergence analysis shows that the iterative method has third-order of convergence. Some numerical examples are given to demonstrate the performance of the new iterative method by comparing with some well-known iterative methods.

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Keywords

Iterative method, geometric construction, nonlinear equation, order convergence, Taylor's polynomial

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