Three-dimensional wave polynomials
<p>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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2005-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2005&pii=S1024123X05404044 |
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doaj-87698f06cc57446394c2589b490214bc2020-11-24T20:41:44ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472005-01-0120055583598Three-dimensional wave polynomialsMaciąg Artur<p>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.</p> http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2005&pii=S1024123X05404044 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Maciąg Artur |
| spellingShingle |
Maciąg Artur Three-dimensional wave polynomials Mathematical Problems in Engineering |
| author_facet |
Maciąg Artur |
| author_sort |
Maciąg Artur |
| title |
Three-dimensional wave polynomials |
| title_short |
Three-dimensional wave polynomials |
| title_full |
Three-dimensional wave polynomials |
| title_fullStr |
Three-dimensional wave polynomials |
| title_full_unstemmed |
Three-dimensional wave polynomials |
| title_sort |
three-dimensional wave polynomials |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2005-01-01 |
| description |
<p>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.</p> |
| url |
http://www.hindawi.net/access/get.aspx?journal=mpe&volume=2005&pii=S1024123X05404044 |
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AT maci261gartur threedimensionalwavepolynomials |
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