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We present the spline-interpolation approximate solution of the Dirichletproblem for the Laplace equation in the bodies of revolution, cones andcylinders. Our method is based on reduction of the 3D problem to the sequenceof 2D Dirichlet problems. The main advantage of the spline-interpolationsolution of the 3D Dirichlet problem is its continuity in the whole domain upto the boundary even for the case of the linear spline.

Spline-interpolation solution of 3D Dirichlet problem for one class of solids