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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Sh. I. Tayupov and M. R. Timerbaev, “Finite element schemes of a high accuracy order for two-pointed heterogeneous boundary-value problem with degeneration,” Uchen. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 148 (4), 63–75 (2006).zbMATHGoogle Scholar
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