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Wave polynomials for solving different types of two-dimensional wave equations

Maciąg A., Wauer J.

Computer Assisted Mechanics and Engineering Sciences

2005

Vol. 12, No. 4

364-378

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.