## FESSDE 2.2: A new version of a program for the finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations

2019-12-06T07:42:34Z (GMT)
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Abstract
A FORTRAN 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 analytical and tabular forms of giving the coefficients of differential equations are considered. Zero-value (Dirichlet) and zero-gradient (Neumann) boundary conditions are also considered.
Title of program: FESSDE 2.2
Catalogue Id: ACVU_v2_0 [ADIX]
Nature of problem
Coupled second-order differential equations of the form

d dY(x) - --[P(x)-----] + [U(x) - lambdaR(x)]Y(x) = 0, x in [a,b], dx dxwith boundary conditions

dY(x)| Y(a) = 0 or -----| = 0, dx |x=a dY(x)| Y(b) = 0 or -----| = 0, dx |x=bare solved. Here lambda is an eigenvalue, Y(x) is an eigenvector, P(x), U(x), and R(x) are symmetrical matrices, P(x) is a diagonal matrix, elements of which are the differentiable functions on a given interval [a,b], and R(x) is a positive m ... Versions of this program held in the CPC repository in Mendeley Data ACVU_v1_0; FESSDE; 10.1016/0010-4655(94)00107-D ACVU_v2_0; FESSDE 2.2; 10.1016/S0010-4655(98)00099-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

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CC BY 4.0