摘要：The nonlocal boundary value problem for Schrödinger equation in a Hilbert space
is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the
approximate solutions of this nonlocal boundary value problem are presented. The stability of these
difference schemes is established. A numerical method is proposed for solving a one-dimensional
nonlocal boundary value problem for the Schrödinger equation with Dirichlet boundary condition.
A procedure of modified Gauss elimination method is used for solving these difference schemes. The method is illustrated by numerical examples.
