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FDEXTR, a program for the finite-difference solution of the coupled-channel Schrödinger equation using Richardson extrapolation. (English) Zbl 0877.65057

Summary: A FORTRAN-77 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-valued (Dirichlet) or zero-gradient (Neumann) boundary conditions are considered.

MSC:

65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
65L12 Finite difference and finite volume methods for ordinary differential equations
34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators

Software:

FDEXTR
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Full Text: DOI

References:

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