Abstract

In this study, the Cauchy problem for the Laplace equation in a multiply connected region was solved. Solving this problem was replaced by solving the Poisson equation in a simply connected region with an unknown source function different from zero in the adjoined region. To determine the power of the sources, a convergent iterative process has been developed based on polyharmonic functions, including the tests on the effect of the polyharmonic function order on the solution accuracy.

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