KANTBP 4M Program for Solving the Scattering Problem for a System of Ordinary Second-Order Differential Equations

作者: Galmandakh Chuluunbaatar , Alexander A. Gusev , Ochbadrakh Chuluunbaatar , Sergue I. Vinitsky , Luong Le Hai

DOI: 10.1051/EPJCONF/202022602008

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摘要: We report an upgrade of the program KANTBP 4M implemented in computer algebra system MAPLE for solving, with a given accuracy, multichannel scattering problem, which is reduced to boundary-value problem ordinary differential equations second order continuous or piecewise real complex-valued coeffcients. The solution over finite interval subject mixed homogeneous boundary conditions: Dirichlet and/or Neumann, third kind. discretization by means element method Lagrange Hermite interpolation polynomials. effciency proposed algorithm demonstrated solving coupling channels both reaction region and asymptotic one.

参考文章(3)
Alexander A. Gusev, Ochbadrakh Chuluunbaatar, Sergue I. Vinitsky, Vladimir L. Derbov, Andrzej Góźdź, Luong Le Hai, Vitaly A. Rostovtsev, Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials Computer Algebra in Scientific Computing. pp. 138- 154 ,(2014) , 10.1007/978-3-319-10515-4_11
A. A. Gusev, L. Le Hai, O. Chuluunbaatar, V. Ulziibayar, S. I. Vinitsky, V. L. Derbov, A. Góźdź, V. A. Rostovtsev, Symbolic-Numeric Solution of Boundary-Value Problems for the Schrödinger Equation Using the Finite Element Method: Scattering Problem and Resonance States computer algebra in scientific computing. pp. 182- 197 ,(2015) , 10.1007/978-3-319-24021-3_14