A Predictor-Corrector Algorithm for Finding all Zeros of Nonlinear Equations

In this paper, an efficient algorithm is proposed to approximate all real solutions of a nonlinear equation. This algorithm is based on convergence conditions of Adomian decomposition method (ADM) for solving functional equations. The presented algorithm is well done, particularly, when we desire to obtain more than one solution of a nonlinear equation with using only one initial solution. The scheme is tested for some examples and the obtained results demonstrate reliability and efficiency of the proposed algorithm.