Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition
| dc.contributor.author | Ashyralyyev, C. | |
| dc.contributor.author | Ashyralyyeva, T.A. | |
| dc.date.accessioned | 2024-12-14T06:33:46Z | |
| dc.date.available | 2024-12-14T06:33:46Z | |
| dc.date.issued | 2024-09-30 | |
| dc.description.abstract | We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given. | ru_RU |
| dc.identifier.citation | Ashyralyyev C. Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition/C. Ashyralyyev, T.A. Ashyralyyeva//Қарағанды университетінің хабаршысы. Математика сериясы= Вестник Карагандинского университета. Серия математики= Bulletin of the Karaganda university. Mathematics series. -2024. №3. Р.66-76. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/19247 | |
| 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 математики= Bulletin of the Karaganda university. Mathematics series.;№3(115)/2024 | |
| dc.subject | inverse problem | ru_RU |
| dc.subject | source identification | ru_RU |
| dc.subject | parabolic equation | ru_RU |
| dc.subject | difference scheme | ru_RU |
| dc.subject | stability | ru_RU |
| dc.subject | nonlocal condition | ru_RU |
| dc.subject | boundary value problem | ru_RU |
| dc.subject | well-posedness | ru_RU |
| dc.subject | stability estimates | ru_RU |
| dc.subject | mixed problem | ru_RU |
| dc.title | Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition | ru_RU |
| dc.type | Article | ru_RU |