The computation of boundary flow with uniform accuracy with respect to a small parameter

zbMath0915.65087MaRDI QIDQ1264724

I. A. Savin, Vladimir B. Andreev

Publication date: 16 June 1999

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationuniform convergenceerror estimateboundary-layerShishkin gridSamarskij's monotone scheme

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem ⋮ On the quasilinear boundary-layer problem and its numerical solution ⋮ Numerical solution of a convection diffusion problem with Robin boundary conditions ⋮ Layer-adapted meshes for convection-diffusion problems ⋮ О монотонных разностных схемах ⋮ A uniformly accurate spline collocation method for a normalized flux. ⋮ Scaled discrete derivatives of singularly perturbed elliptic problems ⋮ Approximation of derivatives in a convection-diffusion two-point boundary value problem ⋮ Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type ⋮ A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions

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