| Title |
Parabolinio-elipsinio uždavinio skaitinis sprendimas / |
| Translation of Title |
Numerical algorithms for one parabolic-elliptic problem. |
| Authors |
Čiegis, Raimondas ; Čiegis, Remigijus |
| DOI |
10.15388/LMR.2003.32532 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. Lietuvos matematikų draugijos XLIV konferencijos mokslo darbai.. Vilnius : Matematikos ir informatikos institutas. 2003, T. 43, spec. nr, p. 581-585.. ISSN 0132-2818 |
| Abstract [eng] |
In this paper we solve numerically a parabolic-elliptic problem.Two finite difference schemes are proposed. The first scheme is a modification of the backward Euler algorithm and it requires to solve an elliptic problem at each time step.The spectral estimates of the obtained matrix are presented. The second scheme is a modification of the stability-correction scheme. This scheme is used as a classical splitting scheme in the parabolic region of the problem definition and as a new iterative algorithm in the elliptic part of the problem. We prove the convergence of the proposed scheme. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
Lithuanian |
| Publication date |
2003 |
| CC license |
|
