Abstract
In this paper, the expression for the space derivatives of Volterra's integral representation, which governs scalar wave propagation problems, is obtained by employing the concept of finite part of an integral. In order to illustrate how to apply this concept to the case under consideration, linear and constant time variation are assumed for the potential and its normal derivative, respectively. The final kernels expressions, obtained when analytical time integration is carried out, are presented and particularized according to the position of the wave front. A numerical example is presented, allowing for the verification of the accuracy of the proposed procedure.
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