METODE ITERASI OPTIMAL ORDE EMPAT MENGGUNAKAN METODE JARRATT DAN FUNGSI PEMBOBOT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This article discusses the new iterative method using weight function and Jarratt’s method for solving nonlinear equations. The convergence analysis using Taylor expansion shows that the proposed method has a fourth order convergence with efficiency index is 1.587. The numerical comparisons of the method to some other fourth order methods using several examples show that in general the proposed method has a better result so it can be used as an alternative method for solving nonlinear equations.