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.
| Original language | English |
|---|---|
| Pages (from-to) | 66-76 |
| Number of pages | 11 |
| Journal | Bulletin of the Karaganda University. Mathematics Series |
| Volume | 115 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2024 |
| Externally published | Yes |
Keywords
- boundary value problem
- difference scheme
- inverse problem
- mixed problem
- nonlocal condition
- parabolic equation
- source identification
- stability
- stability estimates
- well-posedness