Abstract
The boundary value problem for the Helmholtz equation for the acoustic pressure in a shallow sea can be reduced to a system of integral equations (some of which can be hypersingular). We suggest a numerical method for solving this system. In this approach to the numerical solution of the sound propagation problem in a shallow sea, the surfaces of the sea, the seabed, and the layers can have an arbitrary geometric structure.
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Translated from Differentsial’nye Uravneniya, Vol. 40, No. 9, 2004, pp. 1256–1270.
Original Russian Text Copyright © 2004 by Lifanov, Stavtsev.
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Lifanov, I.K., Stavtsev, S.L. Integral equations and sound propagation in a shallow sea. Diff Equat 40, 1330–1344 (2004). https://doi.org/10.1007/s10625-005-0012-x
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DOI: https://doi.org/10.1007/s10625-005-0012-x