Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)15586Variational-Iteration Algorithms of Numerical Solving BoundState and Scattering Problems for Coupled-Channels Radial EquationsChuluunbaatarOJoint Institute for Nuclear Research-Joint Institute for Nuclear Research150620082496420032017Copyright © 2008,2008The variational-iteration algorithms of the numerical solving of the bound state and scattering
problems for coupled-channels radial equations are presented in the framework of the
Kantorovich method (KM). Reduction of the boundary problems with conditions of the third
type for systems of coupled radial equations is executed by a finite element method (FEM)
with a high order accuracy on a non-uniform grid. As benchmark calculation to check rate of
convergence and decomposition KM and efficiency of the FEM approximations of problem,
we used exact values of energy, a phase and lengths of dispersion for model of three identical
particles (bosons) on a straight line interacting by the pair zero-range potentials. A comparison
of convergence rate of KM and Galerkin method in numerical calculations of the ground
state energy of the given model is performed.вариационно-итерационные алгоритмыметод Канторовичасистемы обыкновенных дифференциальных уравнений второго порядка с переменными коэффициентамиметод конечных элементов