Lobachevskii Journal of Mathematics

, Volume 39, Issue 9, pp 1466–1477 | Cite as

High-Order Accuracy Approximation for a Two-Point Boundary Value Problem of Fourth Order with Degenerate Coefficients

  • A. A. SobolevEmail author
  • M. R. Timerbaev
Selected Articles from the Journal Uchenye Zapiski Kazanskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki


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.

Keywords and phrases

two-point boundary value problem finite element schemes weighted function spaces multiplicative and additive-multiplicative separation of singularity 


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Kazan (Volga Region) Federal UniversityKazanRussia

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