In this paper, a practical review of the Adomian decomposition method, to extend the procedure to handle the strongly nonlinear problems, is given. To achieve this purpose, a new and simple way for generation of the Adomian polynomials, for a general nonlinear function, is proposed. The efficiency of the approach will be shown by applying the procedure on several interesting and important problems. The Mathematica program generating the Adomian polynomials based on the procedure in this paper is designed.
