KANTBP 4M Program for Solving the Scattering Problem for a System of Ordinary Second-Order Differential Equations
Joint Institute for Nuclear Research,
2 RUDN University, Moscow, Russia
3 Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
4 Ho Chi Minh city University of Education, Ho Chi Minh city, Vietnam
Published online: 20 January 2020
We report an upgrade of the program KANTBP 4M implemented in the computer algebra system MAPLE for solving, with a given accuracy, the multichannel scattering problem, which is reduced to a boundary-value problem for a system of ordinary differential equations of the second order with continuous or piecewise continuous real or complex-valued coeffcients. The solution over a finite interval is subject to mixed homogeneous boundary conditions: Dirichlet and/or Neumann, and/or of the third kind. The discretization of the boundary problem is implemented by means of the finite element method with the Lagrange or Hermite interpolation polynomials. The effciency of the proposed algorithm is demonstrated by solving a multichannel scattering problem with coupling of channels in both the reaction region and the asymptotic one.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.