| Subject |
Problems involving operators with nonlocal boundary conditions |
| Title |
Well-posedness of a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point NBVPs |
| Author(s) |
Allaberen Ashyralyev and Fatma Songul Ozesenli Tetikoglu |
| Keywords |
Bitsadze-Samarskii problem, elliptic equation, nonlocal boundary value problems, difference scheme, well-posedness, stability, coercive stability. |
| Abstract |
A multi-point nonlocal boundary value problem for a multidimensional elliptic equation with Bitsadze-Samarskii condition is considered. A third order of accuracy stable difference scheme for the approximate solution of this problem is presented. Stability, almost coercive stability and coercive stability estimates for the solution of this difference scheme are obtained. A numerical analysis is given to justify the theoretical part. |
