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Solutions to the Discrete Airy Equation: Application to Parabolic Equation Calculations

Please always quote using this URN:urn:nbn:de:0296-matheon-381
  • In the case of the equidistant discretization of the Airy differential equation (\discrete Airy equation") the exact solution can be found explicitly. This fact is used to derive a discrete transparent boundary condition (TBC) for a Schroedinger equation with linear varying potential, which can be used in \parabolic equation" simulations in (underwater) acoustics and for radar propagation in the troposphere. We propose different strategies for the discrete TBC and show an efficient implementation. Finally a stability proof for the resulting scheme is given. A numerical example in the application to underwater acoustics shows the superiority of the new discrete TBC.

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Metadaten
Author:Matthias Ehrhardt, Ronald E. Mickens
URN:urn:nbn:de:0296-matheon-381
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/07/01
Release Date:2004/07/01
Institute:Technische Universität Berlin
Preprint Number:36
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