A high-speed method for eigenvalue problems. II Calculation of the eigenfunction in Milne's method

Abstract A new version of the program MEIGEN is presented for the eigenvalue problem of Sturm-Liouville-type linear equations in Milne's method. Use of the spline function and the WKB approximation provide a high-speed method for calculating eigenvalues and eigenfunctions avoiding divergence problems. Title of program: MEV2 Catalogue Id: ABTN_v2_0 [ACJH] Nature of problem Calculated eigenvalues include necessarily some numerical errors, which often make the eigenfunctions divergent at large distances. An efficient method to avoid this difficulty is necessitated. Versions of this program held in the CPC repository in Mendeley Data ABTN_v1_0; MEIGEN; 10.1016/0010-4655(90)90052-3 ABTN_v2_0; MEV2; 10.1016/0010-4655(92)90006-K ABTN_v3_0; MEV3; 10.1016/0010-4655(94)90088-4 ABTN_v4_0; MEV4; 10.1016/0010-4655(96)00051-3 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)