Constructive Method for Solving a Boundary Value Problem with Impedance Boundary Condition for the Helmholtz Equation

Author:

Khalilov E. H.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference15 articles.

1. Colton, D. and Kress, R., Integral Equation Methods in Scattering Theory, New York: Wiley, 1983. Translated under the title Metody integral’nykh uravnenii v teorii rasseyaniya, Moscow: Mir, 1987.

2. Gunter, N.M., Teoriya potentsialov i ee primenenie k osnovnym zadacham matematicheskoi fiziki (Potential Theory and Its Application to Basic Problems of Mathematical Physics), Moscow: Gostekhizdat, 1953.

3. Abdullaev, F.A. and Khalilov, E.G., Justification of the collocation method for a class of boundary integral equations, Differ. Equations, 2004, vol. 40, no. 1, pp. 89–93.

4. Kashirin, A.A., On conditionally well-posed integral equations and numerical solution of stationary problems of acoustic wave diffraction, Vestnik Tikhookeanskogo Gos. Univ. Ser. Fiz.-Mat. Nauki, 2012, no. 3 (26), pp. 33–40.

5. Kashirin, A.A. and Smagin, S.I., Potential-based numerical solution of the Dirichlet problem for the Helmholtz equation, Comput. Math. Math. Phys., 2012, vol. 52, no. 8, pp. 1173–1185.

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