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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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