Fourth order accuracy collocation method for singularly perturbed boundary value problems

DOI10.1007/BF00971236zbMath0833.65079OpenAlexW1975499937MaRDI QIDQ1903839

Igor A. Blatov, V. V. Strygin

Publication date: 14 March 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971236

zbMATH Keywords

collocation methodsingular perturbationuniform convergencecubic splinesfourth-order precision

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

On algebras and applications of operators with pseudosparse matrices ⋮ On spectral properties of some classes of linear operators ⋮ Generalized spline interpolation of functions with large gradients in boundary layers ⋮ Cubic spline on a Bakhvalov mesh in the presence of a boundary layer

Cites Work

• A noncommutative Taylor formula and functions of triangle operators
• Inverses of Band Matrices and Local Convergence of Spline Projections
• Extrapolated Collocation for Two-point Boundary-value Problems using Cubic Splines
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