High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients
The paper deals with the construction of high-order accuracy finite element schemes for the fourth-order ordinary differential equation with degenerate coefficients on the boundary. The method for solving the problem is based on both multiplicative and additive-multiplicative separation of singulari...
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2017-12-01
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| Series: | Учёные записки Казанского университета: Серия Физико-математические науки |
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| Online Access: | https://kpfu.ru/high-order-accuracy-approximation-for-the-two_336174.html |
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| _version_ | 1846145886413914112 |
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| author | A.A. Sobolev M.R. Timerbaev |
| author_facet | A.A. Sobolev M.R. Timerbaev |
| author_sort | A.A. Sobolev |
| collection | DOAJ |
| description | The paper deals with the construction of high-order accuracy finite element schemes for the fourth-order ordinary differential equation with degenerate coefficients on the boundary. The method for solving the problem is based on both multiplicative and additive-multiplicative separation of singularities. For the given class of smoothness of the right-hand sides, the optimal convergence rate has been proved. |
| format | Article |
| id | doaj-art-6bdc240226a24c0087d239a3a25e42d1 |
| institution | Kabale University |
| issn | 2541-7746 2500-2198 |
| language | English |
| publishDate | 2017-12-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Физико-математические науки |
| spelling | doaj-art-6bdc240226a24c0087d239a3a25e42d12024-12-02T05:06:24ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982017-12-011594493508High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficientsA.A. Sobolev0M.R. Timerbaev1Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaThe paper deals with the construction of high-order accuracy finite element schemes for the fourth-order ordinary differential equation with degenerate coefficients on the boundary. The method for solving the problem is based on both multiplicative and additive-multiplicative separation of singularities. For the given class of smoothness of the right-hand sides, the optimal convergence rate has been proved.https://kpfu.ru/high-order-accuracy-approximation-for-the-two_336174.htmltwo-point boundary value problemfinite element schemesweight function spacemultiplicative decomposition of singularityadditive-multiplicative decomposition of singularity |
| spellingShingle | A.A. Sobolev M.R. Timerbaev High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients Учёные записки Казанского университета: Серия Физико-математические науки two-point boundary value problem finite element schemes weight function space multiplicative decomposition of singularity additive-multiplicative decomposition of singularity |
| title | High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients |
| title_full | High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients |
| title_fullStr | High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients |
| title_full_unstemmed | High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients |
| title_short | High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients |
| title_sort | high order accuracy approximation for the two point boundary value problem of the fourth order with degenerate coefficients |
| topic | two-point boundary value problem finite element schemes weight function space multiplicative decomposition of singularity additive-multiplicative decomposition of singularity |
| url | https://kpfu.ru/high-order-accuracy-approximation-for-the-two_336174.html |
| work_keys_str_mv | AT aasobolev highorderaccuracyapproximationforthetwopointboundaryvalueproblemofthefourthorderwithdegeneratecoefficients AT mrtimerbaev highorderaccuracyapproximationforthetwopointboundaryvalueproblemofthefourthorderwithdegeneratecoefficients |