Abstract
In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the difference scheme are obtained by using the functional operator approach. Stability, almost coercive stability, and coercive stability estimates for the solution of difference scheme are established. These theoretical results can be applied to construct a stable highly accurate difference scheme for approximate solution of multipoint overdetermined boundary value problem for multidimensional elliptic partial differential equations.
| Original language | English |
|---|---|
| Pages (from-to) | 45-53 |
| Number of pages | 9 |
| Journal | Bulletin of the Karaganda University. Mathematics Series |
| Volume | 102 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2021 |
| Externally published | Yes |
Keywords
- almost coercive stability
- coercive stability
- difference scheme
- high order difference scheme
- inverse
- multi-point condition
- overdetermined elliptic problem
- source identification problem
- stability
- well-posedness