It was
formally shown by many researchers that if an exact solution exists for the
problem, then the obtained series converges very rapidly to that solution. The
convergence concept of the decomposition series was thoroughly investigated
by many researchers to confirm the rapid convergence of the resulting series.
However, for concrete problems, where a closed form solution is not obtainable, a truncated number of terms is usually used for numerical purposes.
The more components we use the higher accuracy we obtain