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

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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

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