Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

The present contribution concerns the computation of energy eigenvalues of a perturbed anharmonic Coulombic potential with irregular singularities using a combination of the Sinc collocation method and the double exponential transformation. This method provides a highly efficient and accurate algorithm to compute the energy eigenvalues of one-dimensional time-independent Schrodinger equation. The numerical results obtained clearly illustrate the efficiency and accuracy of the proposed method. The codes are written in Julia and are available on github at https://github.com/pjgaudre/DESincEig.jl.