On one problem with non-local boundary conditions
In this article two problems with non-local boundary conditions are analysed: stationary diffusion problem with constant coeficients and non-local boundary condition, and stationary diffusion problem with additional convection term and non-local boundary condition. Finite difference schemes are c...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2001-12-01
|
| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/34636 |
| _version_ | 1826587552818135040 |
|---|---|
| author | Raimondas Čiegis Olga Štikonienė Olga Suboč |
| author_facet | Raimondas Čiegis Olga Štikonienė Olga Suboč |
| author_sort | Raimondas Čiegis |
| collection | DOAJ |
| description |
In this article two problems with non-local boundary conditions are analysed: stationary diffusion problem with constant coeficients and non-local boundary condition, and stationary diffusion problem with additional convection term and non-local boundary condition. Finite difference schemes are constructed and investigated. The sufficient conditions for the existence of an unique solution are obtained.
|
| first_indexed | 2024-04-24T06:58:55Z |
| format | Article |
| id | doaj.art-96f63d37b03d463a8823e5f3c57f7c79 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2025-03-14T16:27:15Z |
| publishDate | 2001-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-96f63d37b03d463a8823e5f3c57f7c792025-02-21T18:13:22ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2001-12-0141spec.10.15388/LMR.2001.34636On one problem with non-local boundary conditionsRaimondas Čiegis0Olga Štikonienė1Olga Suboč2Vilnius Gediminas Technical UniversityInstitute of Mathematics and InformaticsVilnius Gediminas Technical University In this article two problems with non-local boundary conditions are analysed: stationary diffusion problem with constant coeficients and non-local boundary condition, and stationary diffusion problem with additional convection term and non-local boundary condition. Finite difference schemes are constructed and investigated. The sufficient conditions for the existence of an unique solution are obtained. https://www.zurnalai.vu.lt/LMR/article/view/34636 |
| spellingShingle | Raimondas Čiegis Olga Štikonienė Olga Suboč On one problem with non-local boundary conditions Lietuvos Matematikos Rinkinys |
| title | On one problem with non-local boundary conditions |
| title_full | On one problem with non-local boundary conditions |
| title_fullStr | On one problem with non-local boundary conditions |
| title_full_unstemmed | On one problem with non-local boundary conditions |
| title_short | On one problem with non-local boundary conditions |
| title_sort | on one problem with non local boundary conditions |
| url | https://www.zurnalai.vu.lt/LMR/article/view/34636 |
| work_keys_str_mv | AT raimondasciegis ononeproblemwithnonlocalboundaryconditions AT olgastikoniene ononeproblemwithnonlocalboundaryconditions AT olgasuboc ononeproblemwithnonlocalboundaryconditions |