On high-order approximation of transparent boundary conditions for the wave equation

Sofronov I.L., Dovgilovich L.E., Krasnov N.A.
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The paper considers the problem of increasing the approximation order of transparent boundary conditions for the wave equation while using finite difference schemes up to the sixth order of accuracy in space. As an example, the problem of wave propagation in a semi-infinite rectangular waveguide is formulated. Computationally efficient and highly accurate formulas for discretizing operator of transparent boundary conditions are proposed. Numerical results confirm the accuracy and stability of the obtained difference algorithms.

Keywords: wave equation, transparent boundary conditions, finite-difference schemes, high-order approximation
Citation in English: Sofronov I.L., Dovgilovich L.E., Krasnov N.A. On high-order approximation of transparent boundary conditions for the wave equation // Computer Research and Modeling, 2014, vol. 6, no. 1, pp. 45-56
Citation in English: Sofronov I.L., Dovgilovich L.E., Krasnov N.A. On high-order approximation of transparent boundary conditions for the wave equation // Computer Research and Modeling, 2014, vol. 6, no. 1, pp. 45-56
DOI: 10.20537/2076-7633-2014-6-1-45-56
URL: http://crm-en.ics.org.ru/journal/article/2116/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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