A new approach to the solution of initial boundary value problems is proposed. It is
based on defining integral relations connecting right sides of different types of boundary
conditions. It is assumed that one of these solutions has been found. Right sides of boundary
conditions of the other problem, being integral equation solutions, are defined through
quadrature formulae. Then, solution of this problem assumes as Green's function convolution
of the first problem with obtained solutions of integral equations. Non-stationary problem of
elastic diffusion for half-space is used as an example.
Keywords: mechanical diffusion; half-space; arbitrary boundary conditions; non-stationary model.
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