Laguerre Transform and Boundary Elements Method in Problems of Numerical Modeling of Wave Propagation

The Laguerre transform with respect to the time variable has been applied to the Dirichlet problem for the wave equation. Received system of elliptic boundary value problems has been numerically solved with the boundary elements method. Transformants of the time-dependent solution have been represented in form of a simple layer potentials, which densities are determined recurrently from a boundary integral equations (BIE) with only right-hand side changing.