adomian decomposition method.The standard adomian method defines the solution u(x) by the series
where the components u ...are usually determined recursively by
substituting (4) into(6) leads to the determination of the components of u. Having determined the components 1,2,.. the solution u in a series form defined by(5) follows immediately. Itis important to note that the decomposition method suggests that the zeroth component u be defined by the function as described above.