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Proper orthogonal decomposition method for some parabolic type equations

Authors :
Gerda Jankevičiūtė
Teresė Leonavičienė
Raimondas Čiegis
Source :
Lietuvos Matematikos Rinkinys, Vol 53, Iss B (2012)
Publication Year :
2012
Publisher :
Vilnius University Press, 2012.

Abstract

In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived. Later the sensitivity of proper orthogonal decomposition method is analyzed depending on the diffusion coefficient and source function. The obtained numerical results are presented in figures and tables.

Details

Language :
English, Lithuanian
ISSN :
01322818 and 2335898X
Volume :
53
Issue :
B
Database :
Directory of Open Access Journals
Journal :
Lietuvos Matematikos Rinkinys
Publication Type :
Academic Journal
Accession number :
edsdoj.b5e5bb142df84fdc983e06ba4896efdd
Document Type :
article
Full Text :
https://doi.org/10.15388/LMR.B.2012.02