Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256880 | Wave Motion | 2016 | 18 Pages |
Abstract
A sound pulse is scattered by a sphere leading to an initial-boundary value problem for the wave equation. A method for solving this problem is developed using integral representations involving Legendre polynomials in a similarity variable and Volterra integral equations. The method is compared and contrasted with the classical method, which uses Laplace transforms in time combined with separation of variables in spherical polar coordinates.
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Authors
P.A. Martin,