Three-dimensional wave polynomials

Artur Maciąg

Mathematical Problems in Engineering, 2005, vol. 2005, 1-16

Abstract:

We demonstrate a specific power series expansion technique to solve the three-dimensional homogeneous and inhomogeneous wave equations. As solving functions, so-called wave polynomials are used. The presented method is useful for a finite body of certain shape. Recurrent formulas to improve efficiency are obtained for the wave polynomials and their derivatives in a Cartesian, spherical, and cylindrical coordinate system. Formulas for a particular solution of the inhomogeneous wave equation are derived. The accuracy of the method is discussed and some typical examples are shown.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:508091

DOI: 10.1155/MPE.2005.583

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