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Volume Integral Equations with Time Delay for Solving Nonstationary Acoustic Problems

  • INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
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Abstract

We derive volume integral equations with time delay describing nonstationary problems of acoustic field scattering by transparent three-dimensional structures. An efficient method for the numerical solution of the resulting equations is proposed.

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REFERENCES

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Funding

This work was supported by the Russian Science Foundation, project no. 20-11-20087.

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Authors and Affiliations

  1. MIREA—Russian Technological University, Moscow, 119454, Russia

    A. B. Samokhin & I. A. Yurchenkov

  2. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    A. S. Samokhina

Authors
  1. A. B. Samokhin
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  2. A. S. Samokhina
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  3. I. A. Yurchenkov
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Corresponding authors

Correspondence to A. B. Samokhin, A. S. Samokhina or I. A. Yurchenkov.

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Translated by V. Potapchouck

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Samokhin, A.B., Samokhina, A.S. & Yurchenkov, I.A. Volume Integral Equations with Time Delay for Solving Nonstationary Acoustic Problems. Diff Equat 57, 1249–1255 (2021). https://doi.org/10.1134/S0012266121090123

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  • DOI: https://doi.org/10.1134/S0012266121090123

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