On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous helmholtz equation |
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Authors: | V V Karachik N A Antropova |
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Institution: | 1.South Ural State University,Chelyabinsk,Russia |
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Abstract: | We present formulas that simplify finding the solutions of the Poisson equation, the inhomogeneous polyharmonic equation,
and the inhomogeneous Helmholtz equation in the case of a polynomial right-hand side. They are based on the representation
of an analytic function by harmonic functions. The resulting formulas remain valid for some analytic right-hand sides for
which the corresponding operator series converge. |
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Keywords: | |
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