Abstract
Approximation of source identification problem for elliptic equation with integral-type nonlocal condition is discussed. The first order of accuracy difference scheme for elliptic nonlocal identification problem is studied. By using spectral resolution of a self-adjoint operator, we establish stability inequalities for solution of constructed scheme. Subsequently, the difference scheme for approximate solution of multidimensional boundary value problem with integral-type nonlocal and first kind boundary conditions is investigated on stability. Numerical test examples are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 2488-2499 |
| Number of pages | 12 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 46 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 30 Jan 2023 |
| Externally published | Yes |
Keywords
- difference scheme
- inverse problem
- source identification problem
- stability estimates