FDEXTR 2.1: A new version of a program for the finite-difference solution of the coupled-channel Schrödinger equation using the Richardson extrapolation

2019-12-06T07:42:12Z (GMT) by A.G. Abrashkevich D.G. Abrashkevich
Abstract A FORTRAN program is presented which solves the Sturm-Liouville problem for a system of coupled second-order differential equations by the finite difference method of the second order using the iterative Richardson extrapolation of the difference eigensolutions on a sequence of doubly condensed meshes. The same extrapolational procedure and error estimations are applied to the eigenvalues and eigenfunctions. Zero-value (Dirichlet) or zero-gradient (Neumann) boundary conditions are considered.... Title of program: FDEXTR version 2.1 Catalogue Id: ACVG_v2_0 [ADIC] Nature of problem Coupled second-order differential equations of the form
 d^2 [-P--- + Q(x)]Y(x) = lambdaY(x), x in [a,b], dx^2 with boundary conditions dY(x)| Y(a) = 0 or -----| = 0, dx |x=a dY(x)| Y(b) = 0 or -----| = 0, dx |x=b 
are solved. Here lambda is an eigenvalue, Y(x) is and eigenvector, Q(x) is a symmetric potential matrix, and P = cI, where I is the unit matrix and c is some constant (usually c=h^2/2mu or 1). Such systems of coupled differential equations usually arise in atomic, molecular a ... Versions of this program held in the CPC repository in Mendeley Data ACVG_v1_0; FDEXTR; 10.1016/0010-4655(94)90169-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)