Stability of a standard finite difference scheme for a singularly perturbed convection-diffusion equation

DOI10.1134/S1064562413010390zbMath1269.65074MaRDI QIDQ352223

G. I. Shishkin

Publication date: 4 July 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencesingular perturbationconvection-diffusion equationfinite difference scheme

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) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Difference scheme for a singularly perturbed parabolic convection-diffusion equation in the presence of perturbations ⋮ Standard finite difference scheme for a singularly perturbed elliptic convection-diffusion equation on a rectangle under computer 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 ⋮ Standard scheme for a singularly perturbed parabolic convection-diffusion equation with computer perturbations

Cites Work

• Unnamed Item
• Fitted Numerical Methods For Singular Perturbation Problems
• Difference Methods for Singular Perturbation Problems
• Optimization of methods of solving ordinary differential equations with strongly oscillating solutions

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