| Title |
Solution of a pseudoparabolic equation with nonlocal integral conditions by the finite difference method |
| Translation of Title |
Pseudoparabolinės lygties su nelokaliosiomis integralinėmis sąlygomis sprendimas baigtinių skirtumų metodu. |
| Authors |
Jachimavičienė, Justina |
| Full Text |
|
| Pages |
28 |
| Keywords [eng] |
pseudoparabolic differencial equation ; stability of difference scheme ; finite difference method. |
| Abstract [eng] |
The thesis analyzes the third-order one-dimensional pseudoparabolic equations with two types of nonlocal conditions. The stability of difference schemes for this problem was studied using the analysis of the spectrum structure of a difference operator with nonlocal conditions. The analysis of the increased accuracy difference schemes for third-order one-dimensional and two-dimensional pseudoparabolic equations with integral conditions has been made. The thesis considers a two-dimensional pseudoparabolic equation with nonlocal integral conditions in one coordinate direction. This problem was solved by a locally one-dimensional method. The stability of a difference scheme has been investigated based on the spectrum structure. The doctoral disertation investigates three-layer difference schemes for one-dimensional pseudoparabolic equations with various, including nonlocal, conditions. Also, the conditions for the stability of three-layer explicit difference schemes have been explored. |
| Type |
Summaries of doctoral thesis |
| Language |
English |
| Publication date |
2013 |
