| Title |
Semi-implicit difference scheme for a two-dimensional parabolic equation with an integral boundary condition |
| Authors |
Jakubėlienė, Kristina ; Čiupaila, Regimantas ; Sapagovas, Mifodijus |
| DOI |
10.3846/13926292.2017.1342709 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : Technika. 2017, vol. 22, iss. 5, p. 617-633.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
integral boundary condition ; semi-implicit dierence scheme ; stability, M-matrix |
| Abstract [eng] |
In this paper, we consider a nite dierence method for a class of two-dimensional parabolic equations with integral boundary conditions. The semi-implicit dierence scheme is considered. The stability of dierence scheme is proved using the properties of the M-matrices, particularly, the regular splitting of an M-matrix. The numerical results of some examples are presented, that approve our theoretical investigations. |
| Published |
Vilnius : Technika |
| Type |
Journal article |
| Language |
English |
| Publication date |
2017 |
