| Title |
Alternating direction implicit method for Poisson equation with integral conditions / |
| Authors |
Štikonienė, Olga ; Sapagovas, Mifodijus |
| DOI |
10.3846/mma.2023.18029 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Vilnius Gediminas Technical University. 2023, vol. 28, iss. 4, p. 715-734.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
elliptic equation ; integral boundary conditions ; finite-difference method ; iterative method ; eigenvalue problem |
| Abstract [eng] |
In this paper, we investigate the convergence of the Peaceman-Rachford Alternating Direction Implicit method for the system of difference equations, approximating the two-dimensional elliptic equations in rectangular domain with nonlocal integral conditions. The main goal of the paper is the analysis of spectrum structure of difference eigenvalue problem with nonlocal conditions. The convergence of iterative method is proved in the case when the system of eigenvectors is complete. The main results are generalized for the system of difference equations, approximating the differential problem with truncation error O(h^4). |
| Published |
Vilnius : Vilnius Gediminas Technical University |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
