Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition
Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain. Because of this nonlocal condition, the classical...
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Vilnius University Press
2012-01-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14080 |
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doaj-72703af48be949d389e12ded19a0852e2020-11-25T01:23:28ZengVilnius University PressNonlinear Analysis1392-51132335-89632012-01-01171Alternating direction method for two-dimensional parabolic equation with nonlocal integral conditionMifodijus Sapagovas0Kristina Jakubėlienė1Vilnius University, LithuaniaVilnius University, Lithuania Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain. Because of this nonlocal condition, the classical alternating direction method is complemented by the solution of low dimension system of algebraic equations. The peculiarities of the method are considered. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14080parabolic equationnonlocal integral conditionalternating-direction methodfinite difference method |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mifodijus Sapagovas Kristina Jakubėlienė |
| spellingShingle |
Mifodijus Sapagovas Kristina Jakubėlienė Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition Nonlinear Analysis parabolic equation nonlocal integral condition alternating-direction method finite difference method |
| author_facet |
Mifodijus Sapagovas Kristina Jakubėlienė |
| author_sort |
Mifodijus Sapagovas |
| title |
Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition |
| title_short |
Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition |
| title_full |
Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition |
| title_fullStr |
Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition |
| title_full_unstemmed |
Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition |
| title_sort |
alternating direction method for two-dimensional parabolic equation with nonlocal integral condition |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2012-01-01 |
| description |
Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain. Because of this nonlocal condition, the classical alternating direction method is complemented by the solution of low dimension system of algebraic equations. The peculiarities of the method are considered.
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| topic |
parabolic equation nonlocal integral condition alternating-direction method finite difference method |
| url |
http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14080 |
| work_keys_str_mv |
AT mifodijussapagovas alternatingdirectionmethodfortwodimensionalparabolicequationwithnonlocalintegralcondition AT kristinajakubeliene alternatingdirectionmethodfortwodimensionalparabolicequationwithnonlocalintegralcondition |
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1725122186268639232 |