Numerical schemes for 3D parabolic problem with non-local boundwy condition
Two finite difference schemes are used to solve the 3D parabolic problem with a non-local boundary condition. A new approximation of the initial condition is proposed for the explicit Euler scheme. Error estimates in the maximum norm are obtained and results of some numerical experiments are presen...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32209 |
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| _version_ | 1832593179868659712 |
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| author | Raimondas Čiegis Mečislovas Meilūnas Olga Subač |
| author_facet | Raimondas Čiegis Mečislovas Meilūnas Olga Subač |
| author_sort | Raimondas Čiegis |
| collection | DOAJ |
| description |
Two finite difference schemes are used to solve the 3D parabolic problem with a non-local boundary condition. A new approximation of the initial condition is proposed for the explicit Euler scheme. Error estimates in the maximum norm are obtained and results of some numerical experiments are presented. The second scheme is based on implicit splitting method. An efficient realization algorithm of the LOD scheme is proposed.
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| format | Article |
| id | doaj-art-31100e854bda488ea7cddf37f37ca328 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2004-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-31100e854bda488ea7cddf37f37ca3282025-01-20T18:16:29ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.32209Numerical schemes for 3D parabolic problem with non-local boundwy conditionRaimondas Čiegis0Mečislovas Meilūnas1Olga Subač2Vilnius Gediminas Technical UniversityVilnius Gediminas Technical UniversityVilnius Gediminas Technical University Two finite difference schemes are used to solve the 3D parabolic problem with a non-local boundary condition. A new approximation of the initial condition is proposed for the explicit Euler scheme. Error estimates in the maximum norm are obtained and results of some numerical experiments are presented. The second scheme is based on implicit splitting method. An efficient realization algorithm of the LOD scheme is proposed. https://www.journals.vu.lt/LMR/article/view/32209finite-difference schemenon-local boundary conditionsLOD schemesconvergence |
| spellingShingle | Raimondas Čiegis Mečislovas Meilūnas Olga Subač Numerical schemes for 3D parabolic problem with non-local boundwy condition Lietuvos Matematikos Rinkinys finite-difference scheme non-local boundary conditions LOD schemes convergence |
| title | Numerical schemes for 3D parabolic problem with non-local boundwy condition |
| title_full | Numerical schemes for 3D parabolic problem with non-local boundwy condition |
| title_fullStr | Numerical schemes for 3D parabolic problem with non-local boundwy condition |
| title_full_unstemmed | Numerical schemes for 3D parabolic problem with non-local boundwy condition |
| title_short | Numerical schemes for 3D parabolic problem with non-local boundwy condition |
| title_sort | numerical schemes for 3d parabolic problem with non local boundwy condition |
| topic | finite-difference scheme non-local boundary conditions LOD schemes convergence |
| url | https://www.journals.vu.lt/LMR/article/view/32209 |
| work_keys_str_mv | AT raimondasciegis numericalschemesfor3dparabolicproblemwithnonlocalboundwycondition AT mecislovasmeilunas numericalschemesfor3dparabolicproblemwithnonlocalboundwycondition AT olgasubac numericalschemesfor3dparabolicproblemwithnonlocalboundwycondition |