# Solution of 2D non-homogenous wave equation by using polywave functions

### Abstract

The paper presents a specific technique of solving the non-homogenous wave equation with the use of Trefftz functions for the wave equation. The solution was presented as a sum of a general integral and a particular integral. The general integral was expressed in the form of a linear combination of Trefftz functions for the wave equation. In order to obtain the particular integral polywave functions were used. They were generated by using the inverse operator L^{-1} of the equation taking into consideration the Trefftz functions.

### Keywords

polywave functions, Trefftz functions, wave polynomials, wave equation,### References

Published

Jan 25, 2017

How to Cite

SOKAŁA, Małgorzata.
Solution of 2D non-homogenous wave equation by using polywave functions.

**Computer Assisted Methods in Engineering and Science**, [S.l.], v. 16, n. 3–4, p. 209-221, jan. 2017. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/146>. Date accessed: 26 jan. 2022.
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