FAMILI BARU DARI GENERALISASI METODE KUADRATUR UNTUK MENEMUKAN SOLUSI PERSAMAAN NONLINEAR

Abstract

This article discusses a new family of generalized quadrature methods which are the general form of several iteration methods derived using quadrature. This method takes the form of a weighted two-step Newton iteration method. Analytically, the new family of generalized quadrature methods has a convergence order of three. Then certain weight values are selected to obtain several known methods and new iteration methods. The computational tests show that the new method can be used as an alternative method to nd a solution of nonlinear equations.