High-Order Accuracy Approximation for a Two-Point Boundary Value Problem of Fourth Order with Degenerate Coefficients
- Autores: Sobolev A.1, Timerbaev M.1
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Afiliações:
- Kazan (Volga Region) Federal University
- Edição: Volume 39, Nº 9 (2018)
- Páginas: 1466-1477
- Seção: Selected Articles from the Journal Uchenye Zapiski Kazanskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki
- URL: https://journals.rcsi.science/1995-0802/article/view/203686
- DOI: https://doi.org/10.1134/S1995080218090044
- ID: 203686
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Resumo
High-order accurate finite element schemes for a fourth-order ordinary differential equation with degenerate coefficients on the boundary are constructed. The method for solving the problem is based on multiplicative and additive-multiplicative separation of singularities. For right-hand sides of the given class of smoothness, an optimal convergence rate is proved.
Sobre autores
A. Sobolev
Kazan (Volga Region) Federal University
Autor responsável pela correspondência
Email: andreyasob@yandex.ru
Rússia, Kazan, 420008
M. Timerbaev
Kazan (Volga Region) Federal University
Email: andreyasob@yandex.ru
Rússia, Kazan, 420008