The approximate calculation of a class of integro-differential expressions describing the propagation of elastic waves

A definition of a fractional derivative in the Marchaut form [1] is used to regularize the integro-differential expressions describing the propagation of elastic waves in solids. Using a spline interpolation, a stable algorithm is constructed for the approximate calculation of the initial integro-di...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1993, Vol.57 (2), p.393-397
Main Author: Dobrushkin, V.A.
Format: Article
Language:English
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Summary:A definition of a fractional derivative in the Marchaut form [1] is used to regularize the integro-differential expressions describing the propagation of elastic waves in solids. Using a spline interpolation, a stable algorithm is constructed for the approximate calculation of the initial integro-differential expressions, and estimates are obtained for the residues of the quadrature formulae.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(93)90070-3