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

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• 作者：Iu. G. Kryvonos ; I. T. Selezov ; A. N. Khimich…
• 关键词：signal propagation ; generalized equation ; total absorption at the output ; Laplace transform ; numerical inversion
• 刊名：Cybernetics and Systems Analysis
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：52
• 期：1
• 页码：46-51
• 全文大小：163 KB
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• 作者单位：Iu. G. Kryvonos (1)
  I. T. Selezov (2)
  A. N. Khimich (1)
  A. Yu. Baranov (1)
  
  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
  2. Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Systems Theory and Control
  Artificial Intelligence and Robotics
  Processor Architectures
  Software Engineering, Programming and Operating Systems
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-8337

文摘

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.