Spectral nonlocal boundary conditions for the wave equation in moving media
A spectral approach of generating low-reflecting boundary conditions for the wave equation in the moving media is proposed. Operator of boundary conditions is firstly derived in exact form for discrete equations, and then necessary approximation modifications are developed to obtain reasonable computational costs. The sum-of-exponentials representation of occurring temporal kernels is used as a key approach for such modifications.
Mathematical modelling in actual problems of science and technics