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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2017, Volume 159, Book 4, Pages 493–508 (Mi uzku1422)  
High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients

A. A. Sobolev, M. R. Timerbaev

Kazan Federal University, Kazan, 420008 Russia
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Abstract: 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.
Keywords: two-point boundary value problem, finite element schemes, weight function space, multiplicative and additive-multiplicative decomposition of singularity.
Received: 12.04.2017
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Sobolev, M. R. Timerbaev, “High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159, no. 4, Kazan University, Kazan, 2017, 493–508
Citation in format AMSBIB
\Bibitem{SobTim17}
\by A.~A.~Sobolev, M.~R.~Timerbaev
\paper High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2017
\vol 159
\issue 4
\pages 493--508
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1422}
\elib{https://elibrary.ru/item.asp?id=32819181}
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