I CONCLUDE WITH..................

The programme has been shown to correctly reproduce the eigen energies of the Hydrogen atom. It has also been used to almost accurately predict the eigen energies of the Group 1 atoms (with the exception of Francium). The agreement of the results with ref.[4] is also a good sign. There is a lot of potential in this area of research of using computational methods to solve problems of theoretical physics albeit in this case that of the time-independent Schroedinger equation. Besides the bisectional method, we could use the Coulomb wavefunction method. There are analytic forms in existence for these Coulomb wavefunctions, which we could match to the numerical solutions. We could extend the numerical method of approximation to the two-electron and multi-electron problem. More work still need to be done to provide a more refine solution to the problem in existence.