Modeling the Evolution of a Propagating Signal from Input to Output with Total Absorption

The authors formulate the initial–boundary-value problem of step pulse propagating from input to output on the basis of a hyperbolic equation with dissipation, which describes the propagation of waves with a finite speed. Exact analytical solution is obtained in the Laplace transform space. Numerica...

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Veröffentlicht in:Cybernetics and systems analysis 2016, Vol.52 (1), p.46-51
Hauptverfasser: Kryvonos, Iu. G., Selezov, I. T., Khimich, A. N., Baranov, A. Yu
Format: Artikel
Sprache:eng
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Zusammenfassung:The authors formulate the initial–boundary-value problem of step pulse propagating from input to output on the basis of a hyperbolic equation with dissipation, which describes the propagation of waves with a finite speed. Exact analytical solution is obtained in the Laplace transform space. Numerical inversion of the Laplace transform by using Euler’s method is carried out and the results are analyzed.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-016-9798-1