Difference scheme of second order of accuracy for the axisymmetric poisson equation in generalized solutions
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abstract
Taking the Dirichlet problem for the axisymmetric Poisson equation in a rectangle with solution belonging to W22, a difference scheme is constructed in a special non-uniform mesh by means of the operators of exact difference schemes. It is shown that our scheme has second order of accuracy in the mesh norm of L2. 1983.