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

Małgorzata Sokała

Małgorzata Sokała Faculty of Management and Computer Modelling Kielce University of Technology, Kielce

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

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