Hey everyone, I'm starting a research project for my partial differential equations course, and I've chosen to research numerical solutions to the radial form of Schrodinger's equation. From some preliminary research, I've found information on using Numerov's method, but I am really not quite sure where to start. Is Numerov's method the ideal way to approach this? Are there other good (or better) numerical methods? I'm assuming I'll be approximating the energy eigenvalues for the radial formulation of Schrodinger's equation (the given topic stated: "Solve the radial Schroedinger's equation for a central force other than Coulomb's law or Hooke's law. Perhaps the 6-12 rule?") I'm not sure what the 6-12 rule is either... I believe that I am supposed to write up a program in Matlab that will use some sort of algorithm (Numerov, Runge-Kutta?, etc...) to provide these solutions, but I am in desperate need of some guidance. Having just started quantum mechanics myself, I'm not entirely sure how I should approach this problem, as I said, so any tips or information would be very much appreciated! Thanks!