Numerical solution of an elliptic-Schrödinger equation with a multipoint nonlocal boundary condition.

The boundary value problem for an elliptic-Schrödinger equation with the multipoint nonlocal boundary condition is considered. The stability estimates for the solution of the given problem are established. For numerically solving this multipoint nonlocal boundary problem the first and second order of difference schemes are presented. The theoretical statements for the solution of these difference schemes are supported by the result of numerical examples. [ABSTRACT FROM AUTHOR]