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Solution of the two-dimensional wave equation by using wave polynomials

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Abstract

The paper demonstrates a specific power-series-expansion technique to solve approximately the two-dimensional wave equation. As solving functions (Trefftz functions) so-called wave polynomials are used. The presented method is useful for a finite body of certain shape geometry. Recurrent formulas for the wave polynomials and their derivatives are obtained in the Cartesian and polar coordinate system. The accuracy of the method is discussed and some examples are shown.

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Authors and Affiliations

  1. Kielce University of Technology, al.1000-lecia P.P. 7, 25-314, Kielce, Poland

    Artur Macig

  2. Institut für Technische Mechanik, Universität Karlsruhe, Kaiserstraβe 12, D-76128, Karlsruhe, Germany

    Jörg Wauer

Authors
  1. Artur Macig
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  2. Jörg Wauer
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Correspondence to Artur Macig.

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Macig, A., Wauer, J. Solution of the two-dimensional wave equation by using wave polynomials. J Eng Math 51, 339–350 (2005). https://doi.org/10.1007/s10665-004-4282-8

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  • DOI: https://doi.org/10.1007/s10665-004-4282-8

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