Non-monotone convergence schemes
We consider the second order BVP x″ = f (t, x, x′), x′(a) = A, x′(b) = B provided that there exist α and β (lower and upper functions) such that: β′ (α) < A < α′(a) and β′(b) < B < α′ (b). We consider monotone and non-monotone approximations of solutions to the Neumann problem. The resul...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2012-09-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/4896 |
| _version_ | 1818887899454636032 |
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| author | Maria Dobkevich |
| author_facet | Maria Dobkevich |
| author_sort | Maria Dobkevich |
| collection | DOAJ |
| description | We consider the second order BVP x″ = f (t, x, x′), x′(a) = A, x′(b) = B provided that there exist α and β (lower and upper functions) such that: β′ (α) < A < α′(a) and β′(b) < B < α′ (b). We consider monotone and non-monotone approximations of solutions to the Neumann problem. The results and examples are provided. |
| first_indexed | 2024-12-19T16:44:34Z |
| format | Article |
| id | doaj.art-dad0f1ab1d9b410c9efe80ea1aa98fed |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T16:44:34Z |
| publishDate | 2012-09-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-dad0f1ab1d9b410c9efe80ea1aa98fed2022-12-21T20:13:41ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102012-09-0117410.3846/13926292.2012.711780Non-monotone convergence schemesMaria Dobkevich0Daugavpils University Parades str. 1, LV-5400 Daugavpils, LatviaWe consider the second order BVP x″ = f (t, x, x′), x′(a) = A, x′(b) = B provided that there exist α and β (lower and upper functions) such that: β′ (α) < A < α′(a) and β′(b) < B < α′ (b). We consider monotone and non-monotone approximations of solutions to the Neumann problem. The results and examples are provided.https://journals.vgtu.lt/index.php/MMA/article/view/4896nonlinear boundary value problemmonotone iterationsNeumann boundary conditionnon-monotone iterations |
| spellingShingle | Maria Dobkevich Non-monotone convergence schemes Mathematical Modelling and Analysis nonlinear boundary value problem monotone iterations Neumann boundary condition non-monotone iterations |
| title | Non-monotone convergence schemes |
| title_full | Non-monotone convergence schemes |
| title_fullStr | Non-monotone convergence schemes |
| title_full_unstemmed | Non-monotone convergence schemes |
| title_short | Non-monotone convergence schemes |
| title_sort | non monotone convergence schemes |
| topic | nonlinear boundary value problem monotone iterations Neumann boundary condition non-monotone iterations |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/4896 |
| work_keys_str_mv | AT mariadobkevich nonmonotoneconvergenceschemes |