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[7335] Artykuł: Wave polynomials for solving different types of two-dimensional wave equationsCzasopismo: Computer Assisted Mechanics and Engineering Sciences Tom: 12, Zeszyt: 4, Strony: 364-378ISSN: 1232-308X Opublikowano: 2005 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w recenzowanym czasopiśmie wymienionym w wykazie ministra MNiSzW (część B) Punkty MNiSW: 6 YADDA/CEON Słowa kluczowe: równanie falowe  wielomiany  Keywords: wave equation  wave polynomials  Trefftz method  membrane vibrations  |
The paper demonstrates a specific power series expansion technique used to obtain the approximate solution of the two-dimensional wave equation in some unusual cases. The solution for inhomogeneous wave equation, for more complicated shape geometry of the body, discrete boundary conditions and a membrane whose thickness is not constant is shown. As solving functions (Trefftz functions), so-called wave polynomials are used. Recurrent formulas for the particular solution are obtained. Some examples are included.