FAMILI METODE BERTIPE STEFFENSEN DENGAN MEMORI UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Abstract

This nal project discusses the family of Steffensen's type method with memory by using approximation derivative of Newton's Divided Difference (NDD) to solve nonlinear equations. Analytically by using Taylor expansion and geometric series the proposed method proven have a six, seven and eight order of convergence with efficiency index are 1.817, 1.912, 2.000. Numerical computations of several examples with some other discussed methods show that the proposed method in general can be used as an alternative method to solve nonlinear equations.