Data perturbation stability of difference schemes on uniform grids for a singularly perturbed convection–diffusion equation

DOI10.1515/RNAM-2013-0022zbMath1276.65043OpenAlexW2068229587MaRDI QIDQ2851193

G. I. Shishkin

Publication date: 10 October 2013

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2013-0022

zbMATH Keywords

stabilityconvergenceDirichlet problemdecomposition methodsingular perturbationdifference schemesconditioninguniform gridconvection-diffusion ordinary differential equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

Difference scheme for a singularly perturbed parabolic convection-diffusion equation in the presence of perturbations ⋮ Computer difference scheme for a singularly perturbed elliptic convection-diffusion equation in the presence of perturbations ⋮ Computer difference scheme for a singularly perturbed convection-diffusion equation ⋮ Use of Standard Difference Scheme on Uniform Grids for Solving Singularly Perturbed Problems Under Computer Perturbations

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