A stable difference scheme for the solution of a source identification problem for telegraph-parabolic equations
| dc.contributor.author | Ashyraliyev, M. | |
| dc.contributor.author | Ashyralyyeva, M.A. | |
| dc.date.accessioned | 2024-12-14T05:36:21Z | |
| dc.date.available | 2024-12-14T05:36:21Z | |
| dc.date.issued | 2024-09-30 | |
| dc.description.abstract | In the present paper, we construct a first order of accuracy difference scheme for the approximate solution of the inverse problem for telegraph-parabolic equations with an unknown spacewise dependent source term. The unique solvability of constructed difference scheme and the stability estimates for its solution were obtained. The proofs are based on the spectral representation of the self-adjoint positive definite operator in a Hilbert space. | ru_RU |
| dc.identifier.citation | Ashyraliyev M. A stable difference scheme for the solution of a source identification problem for telegraph-parabolic equations/M. Ashyraliyev, M.A. Ashyralyyeva//Қарағанды университетінің хабаршысы. Математика сериясы=Вестник Карагандинского университета. Серия математика=Bulletin of the Karaganda university. Mathematics series. -2024. №3. Р.46-54. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/19245 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of academician E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Қарағанды университетінің хабаршысы. Математика сериясы=Вестник Карагандинского университета. Серия математика=Bulletin of the Karaganda university.Mathematics series.;№3(115)/2024 | |
| dc.subject | Difference scheme | ru_RU |
| dc.subject | source identification problem | ru_RU |
| dc.subject | telegraph-parabolic equation | ru_RU |
| dc.subject | stability estimates | ru_RU |
| dc.title | A stable difference scheme for the solution of a source identification problem for telegraph-parabolic equations | ru_RU |
| dc.type | Article | ru_RU |