
PROGRAM LIBRARY JINRLIB KANTBP 4M  program for solving boundary problems of the selfadjoint system of ordinary second order differential equationsAuthors: A.A.Gusev, L. Le Hai, O.Chuluunbaatar, S.I.Vinitsky 

Environment: MAPLE (tested in versions 14, 16, 17 and 18) / Windows The program of KANTBP 4M implemented in the computer algebra system MAPLE for solutions to a given accuracy of boundary problem and eigenvalue problem for the selfadjoint system of ordinary differential equations of the second order with continuous or piecewise continuous real or complexvalued coefficients. The desired solution in a finite interval of the realvalued in the independent variable subject to homogeneous boundary conditions: Dirichlet and/or Neumann, and/or third kind. Discretization of the boundary problems are implemented by the finite element method with the interpolation Hermite polynomials preserves the property of continuity of derivatives of the desired solutions [1]. Solutions of algebraic problems are performed using the builtin procedures of the linear algebra. For the reduction of the boundaryvalued problem or the scattering problem with a different number of open channels in the two asymptotic regions to the boundary problems on a finite interval, the asymptotic boundary conditions for large absolute values of the independent variable are approximated homogeneous boundary conditions of the third kind. The program calculates the energy eigenvalues or the scattering matrix composed of square matrices amplitude reflection and rectangular matrices of transmission amplitudes, and wave functions in the closecoupled channels and Kantorovich [2] methods at specified basis functions. For the calculation of metastable states with complex eigenvalues of energy, or to solve the problem for bound states with boundary conditions depending on the spectral parameter the Newtonian iteration scheme is implemented [3]. Test Examples 0116 of solving boundary problems and eigenvalue problems of quantum mechanics are given in the detailed description. Sources and the detailed description (pdf) are submitted References:
