MODIFIKASI METODE GOLBABAI-JAVIDI TANPA TURUNAN KEDUA UNTUK MENCARI AKAR PADA PERSAMAAN NONLINEAR DAN ASPEK DINAMIKANYA

Abstract

This article discusses the modification of Golbabai-Javidi method by approximating the second derivative with a cubic polynomial to solve nonlinear equations. Analyt- ically, using Taylor expansion and geometric series, the proposed method is proven to have a sixth order of convergence and it has efficiency index 1.565. Numerical computation of several examples with some other mentioned methods shows that the proposed method in general has the smallest error in its approximation to the root of the nonlinear equations. Next, the dynamic of proposed method is displayed using basin of attraction.