| Title |
Dvimatės parabolinės lygties su integraline sąlyga sprendimas baigtinių skirtumų metodu / |
| Translation of Title |
Solution of a two-dimensional parabolic equation with an integral condition by the finite-difference method. |
| Authors |
Jakubėlienė, Kristina |
| Full Text |
|
| Pages |
92 |
| Keywords [eng] |
two-dimensional parabolic equation ; nonlocal integral condition ; finite difference method. |
| Abstract [eng] |
The aim of the work is to analyze the finite difference method for solving two-dimensional parabolic equation with an integral boundary condition. The alternating direction method for solving the problem of this kind is analyzed. This method is applied the alternating direction method for solving two-dimensional parabolic equation with two nonlocal integral condition is analyzed. Solution of the problem is found by resolving an additional linear system of equations of lower order . Structure of the spectrum for difference operator with nonlocal condition is analyzed. In order to analyze stability of two-dimensional parabolic equation with one integral condition the structure of spectrum is analyzed. Influence of nonlocal condition for structure of the spectrum is determined. The finite difference method for elliptic problem is constructed. |
| Type |
Doctoral thesis |
| Language |
Lithuanian |
| Publication date |
2013 |
