| Title |
M-matrices and convergence of finite difference scheme for parabolic equation with an integral boundary condition |
| Authors |
Čiupaila, Regimantas ; Sapagovas, Mifodijus ; Pupalaigė, Kristina |
| DOI |
10.3846/mma.2020.8023 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis.. Vilnius : VGTU Press. 2020, vol. 25, iss. 2, p. 167-183.. ISSN 1392-6292. eISSN 1648-3510 |
| Keywords [eng] |
finite difference method ; nonlocal boundary condition ; convergence ; M-matrices |
| Abstract [eng] |
In the paper, the stability and convergence of difference schemes approximating semilinear parabolic equation with a nonlocal condition are considered. The proof is based on the properties of M-matrices, not requiring the symmetry or diagonal predominance of difference problem. The main presumption is that all the eigenvalues of the corresponding difference problem with nonlocal conditions are positive. |
| Published |
Vilnius : VGTU Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2020 |
| CC license |
|
