This article is cited in 4 papers

Numerical methods

Integral equations and sound propagation in a shallow sea

I. K. Lifanov^a, S. L. Stavtsev<sup>b

a</sup> N.E. Zhukovsky Military Engineering Academy
^b Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow

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.

UDC: 519.642

Received: 15.03.2004

 English version: Differential Equations, 2004, 40:9, 1330–1344

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