On the modeling of wave processes in unbounded domains by problem with two-point conditions in time

Zinovii M. Nytrebych; Oksana M. Malanchuk; Waldemar Wójcik; Indira Shedreyeva

doi:10.1117/12.2501571

1 October 2018 On the modeling of wave processes in unbounded domains by problem with two-point conditions in time

Zinovii M. Nytrebych, Oksana M. Malanchuk, Waldemar Wójcik, Indira Shedreyeva

Proceedings Volume 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018; 108082B (2018) https://doi.org/10.1117/12.2501571
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 2018, Wilga, Poland

Abstract

The wave’s propagation model in an unbounded domain with known values of an unknown function in two moments of time is described by a two-point in time problem for d'Alembert equation. A class of quasipolynomials in which the problem has a unique solution is established. The formula of constructing the solution of the problem is proposed. The example for applying the method is given.

Citation Download Citation

Zinovii M. Nytrebych, Oksana M. Malanchuk, Waldemar Wójcik, and Indira Shedreyeva "On the modeling of wave processes in unbounded domains by problem with two-point conditions in time", Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 108082B (1 October 2018); https://doi.org/10.1117/12.2501571

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