it was concluded that if a term or terms in the component u0 are canceled by a term or terms in the component u1, even
though u1 contains further terms, then the remaining non-canceled terms in u0
provide the exact solution u
appear always for inhomogeneous equations. This development is proved to be
useful in demonstrating a fast convergence of the decomposition series solu-
tion. The rapid convergence of the series obtained by this method is thoroughly
discussed by Cherruault et al. [4].
x. It was suggested in [3] that the ``noise terms''