Problems of source determining in hyperbolic equation with singular perturbation

Recieved: 01/24/2024

Accepted: 03/13/2024

Published: 06/26/2024

Keywords: inverse problem, hyperbolic equation, singular perturbation

To cite this article

Andrianov D.S. Problems of source determining in hyperbolic equation with singular perturbation. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2024. N 3, p.17-24 https://doi.org/10.55959/MSU/0137-0782-15-2024-47-3-17-24.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Andrianov D.S. (Lomonosov Moscow State University (MSU))

Abstract

The paper considers inverse problems for hyperbolic equation with singular perturbation in which the function entering the source is unknown. The existence of inverse problems solutions is proved, numerical methods for inverse problems solving are developed and the results of computational experiments illustrating effectiveness of numerical methods are presented.