A numerical method to compute the complex solution of nonlinear algebraic equations

Abstract

In this paper, it is attempted to approximate the real and complex roots of nonlinear equations. For this reason, by considering the convergence conditions of Adomian decomposition method for solving functional equations, a new appropriate method is presented. It will be shown that the proposed method can be computed suitable approximate real and complex roots of a given function more efficient than Maple software. Furthermore, with providing some examples the aforementioned cases are dealt with numerically.