Higher order iterative schemes for nonlinear equations using decomposition technique

摘要

In this paper, we suggest and analyze some unique recurrence relations which can generate different classes of iterative methods for solving nonlinear equations using the system of coupled equations together with decomposition technique by using an auxiliary function. Various numerical examples are given to illustrate the efficiency and performance of the newly suggested methods. These new iterative methods may be viewed as an addition and generalization of the existing methods for solving nonlinear equations.