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

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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.

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References

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kazan, 420008, Russia

    A. A. Sobolev & M. R. Timerbaev

Authors
  1. A. A. Sobolev
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  2. M. R. Timerbaev
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Correspondence to A. A. Sobolev.

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Sobolev, A.A., Timerbaev, M.R. High-Order Accuracy Approximation for a Two-Point Boundary Value Problem of Fourth Order with Degenerate Coefficients. Lobachevskii J Math 39, 1466–1477 (2018). https://doi.org/10.1134/S1995080218090044

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  • DOI: https://doi.org/10.1134/S1995080218090044

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