The Relaxation Method for Solving the Schrodinger Equation in   Configuration Space with the Coulomb and Linear Potentials
  The non-relativistic Schrodinger equation with the linear and Coulomb potentials is solved numerically in configuration space using the relaxation method. The numerical method presented in this paper is a plain explicit Schrodinger solver which is conceptually simple and is suitable for advanced undergraduate research. 
Alfred Tang, Daniel R. Shillinglaw and George Nill