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The Numerical Solution of Wave Equation with Delay for the Case of Variable Velocity Coefficient

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Differential and Difference Equations with Applications (ICDDEA 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 333))

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Abstract

The wave equations with delay and variable velocity coefficient are considered. A family of grid methods is constructed for the numerical solution of this equations. The convergence of the constructed method is investigated by means of embedding into a general difference scheme with delay. Results of calculating test examples are presented.

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References

  1. Lekomtsev, A., Pimenov, V.: Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity. Appl. Math. Comput. 256, 83–93 (2015)

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Acknowledgements

This work was supported by RFBR Grant 19-01-00019.

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Authors and Affiliations

  1. Ural Federal University, Yekaterinburg, Russia

    Ekaterina Tashirova

Authors
  1. Ekaterina Tashirova
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Corresponding author

Correspondence to Ekaterina Tashirova .

Editor information

Editors and Affiliations

  1. Department of Exact Sciences and Engineering, Military Academy, Lisbon, Portugal

    Sandra Pinelas

  2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, USA

    John R. Graef

  3. Mathematik und Didaktik, Katholische Universität Eichstätt, Eichstätt, Bayern, Germany

    Stefan Hilger

  4. Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  5. Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, Xanthi, Greece

    Christos Schinas

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Tashirova, E. (2020). The Numerical Solution of Wave Equation with Delay for the Case of Variable Velocity Coefficient. In: Pinelas, S., Graef, J.R., Hilger, S., Kloeden, P., Schinas, C. (eds) Differential and Difference Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-56323-3_15

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