Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation

A general method is proposed to build exact artificial boundary conditions for the one-dimensional nonlocal Schrödinger equation. To this end, we first consider spatial semi-discretization of equation, and then develop an accurate numerical computing Green's function semi-discrete These functions are next used corresponding model. Numerical results illustrate accuracy conditions. The methodology can also be applied other models could extended higher dimensions.