Discrete approximations of solutions and derivatives for a singularly perturbed parabolic convection--diffusion equation.

DOI10.1016/j.cam.2003.09.023zbMath1039.65061OpenAlexW1995111276MaRDI QIDQ1428502

G. I. Shishkin

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.cam.2003.09.023

zbMATH Keywords

convergencesingular perturbationerror boundsfinite difference methodsboundary layerparabolic convection-diffusion equationapproximation of derivativespiecewise-uniform meshes

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Numerical approximations to the scaled first derivatives of the solution to a two parameter singularly perturbed problem ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Parameter robust higher‐order finite difference method for convection‐diffusion problem with time delay ⋮ Scaled discrete derivatives of singularly perturbed elliptic problems ⋮ A recent survey on computational techniques for solving singularly perturbed boundary value problems ⋮ Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type ⋮ Numerical approximation of solution derivatives in the case of singularly perturbed time dependent reaction-diffusion problems

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