SLCPM12 — A program for solving regular Sturm—Liouville problems Original Research Article

The code SLCPM12 first converts the original Sturm—Liouville equation into an equation of the Schrödinger form and then it solves the latter by means of a suited highly accurate method. The conversion is done by using Liouvilleʹs transformation and the numerical method for solving the Schrödinger equation is CPM12, 10 developed by Ixaru, De Meyer and Vanden Berghe, CP Methods for the Schrödinger Equation revisited, J. Comput. Appl. Math. (1998). The new code is by far faster and more accurate than other existing codes, e.g. SLEDGE, SLEIGN and SL02F.