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Constructive Method for Solving a Boundary Value Problem with Impedance Boundary Condition for the Helmholtz Equation

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Abstract

We substantiate the collocation method for the singular integral equation of a boundary value problem with impedance condition for the Helmholtz equation. We construct a sequence converging to the exact solution of the original problem and estimate the error.

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Correspondence to E. H. Khalilov.

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Original Russian Text © E.H. Khalilov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 4, pp. 544–555.

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Khalilov, E.H. Constructive Method for Solving a Boundary Value Problem with Impedance Boundary Condition for the Helmholtz Equation. Diff Equat 54, 539–550 (2018). https://doi.org/10.1134/S0012266118040109

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  • DOI: https://doi.org/10.1134/S0012266118040109

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