Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation

DOI10.1134/S0965542515010030zbMath1350.34044MaRDI QIDQ2354413

Vladimir B. Andreev

Publication date: 13 July 2015

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

zbMATH Keywords

Hölder spacesconvection-diffusiondecomposition of solutionsingularly perturbed equationunimprovable estimates

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

Decomposition of the solution to a two-dimensional singularly perturbed convection-diffusion equation with variable coefficients in a square and estimates in Hölder norms ⋮ Interior Layers in Singularly Perturbed Problems ⋮ Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation ⋮ Estimates in Hölder classes for the solution of an inhomogeneous Dirichlet problem for a singularly perturbed homogeneous convection-diffusion equation

Cites Work

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• A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes
• A technique to prove parameter-uniform convergence for a singularly perturbed convection-diffusion equation
• 10.1007/s11470-008-1007-5
• The optimization of methods of solving boundary value problems with a boundary layer

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