On a convection-diffusion problem with a weak layer

DOI10.1016/j.amc.2003.12.001zbMath1062.65078OpenAlexW2142187280MaRDI QIDQ1764706

Torsten Linss

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.001

zbMATH Keywords

singular perturbationFinite difference methodupwind schemeboundary-layerConvection-diffusion equation

Mathematics Subject Classification ID

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

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A brief survey on numerical methods for solving singularly perturbed problems

Cites Work

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• Solution decompositions for linear convection-diffusion problems
• ``Shooting method for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer.
• Uniform pointwise convergence of finite difference schemes using grid equidistribution