Use this url to cite publication: https://cris.mruni.eu/cris/handle/007/35204
On the stability of locally one-dimensional method for two-dimensional parabolic equation with nonlocal integral conditions
Type of publication
Straipsnis recenzuojamoje užsienio konferencijos medžiagoje / Article in peer-reviewed foreign conference proceedings (P1g)
Author(s)
| Author | Affiliation |
|---|---|
Vilniaus universitetas |
Title
On the stability of locally one-dimensional method for two-dimensional parabolic equation with nonlocal integral conditions
Date Issued
| Date |
|---|
2010 |
Extent
[p. 1-11]
Is part of
ECCOMAS CFD 2010 : 5th European conference on computational fluid dynamics / editors: J.C.F. Pereira, A. Sequeira [Elektroninis išteklius (CD-ROM)]. Lisbon, 2010. ISBN 9789899677814.
Research Area
Gamtos mokslai / Natural Sciences (N)
Field of Science
Matematika / Mathematics (N001)
Informatika / Informatics (N009)
Abstract (en)
We construct and analyse a locally one-dimensional method (finite-difference scheme) for a two-dimensional parabolic equation with nonlocal integral conditions. The main attention is paid to the stability of the method. We apply the stability analysis technique which is based on the investigation of the spectral structure of the transition matrix of a finite-difference scheme and demonstrate that depending on the parameters of nonlocal conditions the proposed method can be stable or unstable. The results of numerical experiment with one test problem are also presented and they validate theoretical results.
Media Type (COAR)
TextConference outputConference proceedingsConference paper
ISBN (of the container)
9789899677814
eLABa
3236898
Coverage Spatial
Portugalija / Portugal (PT)
Language
Anglų / English (en)
Bibliographic Details
13