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

In this paper, an efficient algorithm is proposed to approximateall real solutions of a nonlinear equation. this algorithm is basedon 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 nonlinearequation with using only one initial solution. the scheme is testedfor some examples and the obtained results demonstrate reliability andefficiency of the proposed algorithm.