Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements
Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. Associated finite-difference scheme is proposed on uniform mesh and second-order accuracy for approximation is p...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EJAAM
2019-07-01
|
| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0004.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823864828938158080 |
|---|---|
| author | Dovlet M. Dovletov |
| author_facet | Dovlet M. Dovletov |
| author_sort | Dovlet M. Dovletov |
| collection | DOAJ |
| description | Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. Associated finite-difference scheme is proposed on uniform mesh and second-order accuracy for approximation is proved. An application of obtained results to nonlocal boundary problems with weight integral conditions is provided. |
| format | Article |
| id | doaj-art-23f057e825e84824960cd4843232c813 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-23f057e825e84824960cd4843232c8132025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902019-07-01201810.2478/ejaam-2018-0004Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statementsDovlet M. Dovletov0Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey.Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. Associated finite-difference scheme is proposed on uniform mesh and second-order accuracy for approximation is proved. An application of obtained results to nonlocal boundary problems with weight integral conditions is provided.https://ejaam.org/articles/2018/10.2478-ejaam-2018-0004.pdfsturm-liouville operatornonlocal boundary value problemsecond kind of nonlocal boundary conditionsa priori estimatefinite-difference schemesecond-order of accuracy approximation |
| spellingShingle | Dovlet M. Dovletov Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements E-Journal of Analysis and Applied Mathematics sturm-liouville operator nonlocal boundary value problem second kind of nonlocal boundary conditions a priori estimate finite-difference scheme second-order of accuracy approximation |
| title | Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements |
| title_full | Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements |
| title_fullStr | Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements |
| title_full_unstemmed | Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements |
| title_short | Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements |
| title_sort | nonlocal boundary value problem in terms of flow for sturm liouville operator in differential and difference statements |
| topic | sturm-liouville operator nonlocal boundary value problem second kind of nonlocal boundary conditions a priori estimate finite-difference scheme second-order of accuracy approximation |
| url | https://ejaam.org/articles/2018/10.2478-ejaam-2018-0004.pdf |
| work_keys_str_mv | AT dovletmdovletov nonlocalboundaryvalueproblemintermsofflowforsturmliouvilleoperatorindifferentialanddifferencestatements |