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Vilnius University Institutional Repository
Article . 2011
License: CC BY
Full-Text: https://epublications.vu.lt/object/elaba:4451086/4451086.pdf
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Lietuvos Matematikos Rinkinys
Article . 2011 . Peer-reviewed
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Lietuvos Matematikos Rinkinys
Article . 2011
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Solution of two-dimensional parabolic equation with nonlocal integral boundary conditions

Dvimatės parabolinės lygties su dviem nelokaliosiomis integralinėmis sąlygomis sprendimas
descriptionPublicationkeyboard_double_arrow_right Article 15 Dec 2011 Lithuania Publisher:Vilnius University PressJournal:Lietuvos matematikos rinkinys, volume 52, pages 285-290 (issn: 0132-2818, eissn: 2335-898X, Copyright policy )
Authors: Jakubėlienė, Kristina;

doi: 10.15388/lmr.2011.14855

Solution of two-dimensional parabolic equation with nonlocal integral boundary conditions

Abstract

Two-dimensional parabolic equation with nonlocal integral boundary conditions in a rectangle domain in this paper is solved by alternating direction method. To find the solutions of this problem we are looking to solve a linear system of equations. This algorithm is realized on particular example and assess the error of solution.

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Lithuania
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Keywords

Two-dimensional parabolic equation, Nelokalioji integralinė sąlyga, Nonlocal integral condition, two-dimensional parabolic equation, Alternating direction method, nonlocal integral condition, alternating direction method, finite-difference method, Finite-difference method, Baigtinių skirtumų metodas, QA1-939, Kintamųjų krypčių metodas, Dvimatė parabolinė lygtis, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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