FESSDE, a program for the finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations. (English) Zbl 0873.65076

Abrashkevich, A. G.; Abrashkevich, D. G.; Kaschiev, M. S.; Puzynin, I. V.

Comput. Phys. Commun. 85, No. 1, 65-81 (1995).

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 element method using high-order accuracy approximations. The analytic and tabular forms of giving the coefficients of differential equations are considered. Zero-value (Dirichlet) and zero-gradient (Neumann) boundary conditions are also considered.

MSC:

65L15	Numerical solution of eigenvalue problems involving ordinary differential equations
34-04	Software, source code, etc. for problems pertaining to ordinary differential equations
65Y15	Packaged methods for numerical algorithms
34L15	Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators
34L40	Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
81Q05	Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Keywords:

Schrödinger equation; FORTRAN 77 program; Sturm-Liouville problem; system; second-order differential equations; finite element method

Citations:

Zbl 0873.65075

Software:

FESSDE

References:

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