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[7285] Artykuł: Three-dimensional wave polynomialsCzasopismo: Mathematical Problems in Engineering Tom: 2005, Zeszyt: 5, Strony: 583-598ISSN: 1024-123X Wydawca: HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA Opublikowano: 2005 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 10 Klasyfikacja Web of Science: Article ![]() ![]() |
We demonstrate a specific power series expansion technique to solve the three-dimensional homogeneous and in homogeneous 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.