Email this article High-Order Accuracy Approximation for a Two-Point Boundary Value Problem of Fourth Order with Degenerate Coefficients
- Authors: Sobolev A.A.1, Timerbaev M.R.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 39, No 9 (2018)
- Pages: 1466-1477
- Section: 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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Abstract
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.
About the authors
A. A. Sobolev
Kazan (Volga Region) Federal University
Author for correspondence.
Email: andreyasob@yandex.ru
Russian Federation, Kazan, 420008
M. R. Timerbaev
Kazan (Volga Region) Federal University
Email: andreyasob@yandex.ru
Russian Federation, Kazan, 420008
