A numerical solution of the initial boundary value problem for the heat equation has a great significance as regards the number of applications in engineering sciences. This problem arises also at the solution of the inverse boundary valueproblems in the thermal tomography [6]. The approximate solution can be found with the boundary integral equations method which may be used in the diverse variants[3]. In this paper we combine the Cayley transform and the boundary integral equations forthe numerical solution of the interior initial boundary value problem for the heat equation.
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