Wave polynomials for solving different types of two-dimensional wave equations
Abstract
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.
Keywords
wave equation, wave polynomials, Trefftz method, membrane vibrations,References
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Published
Nov 21, 2022
How to Cite
MACIĄG, Artur; WAUER, Jörg.
Wave polynomials for solving different types of two-dimensional wave equations.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 12, n. 4, p. 363-378, nov. 2022.
ISSN 2956-5839.
Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/972>. Date accessed: 23 dec. 2024.
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