Solution of Helmholtz's equation in the plane with an elliptical hole

2014;
: pp. 256-263
Received: December 18, 2014
Authors:
1
Lviv Polytechnic National University

General approach to constructing solutions of boundary value problems for Helmholtz's equations is considered. By transforming coordinates applying conforming mappings of corresponding domains onto the circle, a set of solutions of Helmholtz's equation in different coordinate systems is obtained. Solutions of boundary value problems for this equation in the plane with an elliptical hole are constructed.

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Math. Model. Comput. Vol. 1, No. 2, pp. 256-263 (2014)