METODE ITERASI BARU DENGAN TEKNIK DEKOMPOSISI UNTUK MENYELESAIKAN SISTEM PERSAMAAN NONLINEAR

Abstract

This article discusses a new iterative method using the decomposition technique through a coupled system of equations to solve a system of nonlinear equation. Convergence analysis is performed and it shows that the new iteration method is fifth-order convergent. To see the effectiveness of the proposed method, numerical comparison is performed using two examples. The results show that the errors obtained by the new iteration method are smaller than those of the comparison methods. Hence, this new iteration method is more efficient to solving the system of nonlinear equation