Variable-step finite difference schemes for the solution of   Sturm-Liouville problems
  We discuss the solution of regular and singular Sturm-Liouville problems by means of High Order Finite Difference Schemes. We describe a code to define a discrete problem and its numerical solution by means of linear algebra techniques. Different test problems are proposed to emphasize the behaviour of the proposed algorithm. 
Pierluigi Amodio, Giuseppina Settanni
math.NA