ABSTRACT
THE EFFECT OF NON-LOCALITY IN BOUNDARY CONDITIONS ON THE EIGENVALUES OF SOME FINITE DIFFERENCE SCHEMES
Journal: Matrix Science Mathematic (MSMK)
Author: A. Elmekawy, S. M. Helal, M. El-Aza
This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
DOI: 10.26480/msmk.02.2020.32.36
In this paper, we analyze a new form of non-local boundary conditions for a two-dimensional elliptic partial differential equation model. Some relations for the existence of the different types of eigenvalues and their corresponding eigenfunctions are proved. The figures of the relations are also dragged to show the effect of the non-locality in boundary conditions on the eigenvalue problem.
| Pages | 32-36 |
| Year | 2020 |
| Issue | 2 |
| Volume | 4 |
