Standard scheme for a singularly perturbed parabolic convection-diffusion equation with computer perturbations

DOI10.1134/S1064562415030059zbMath1325.65126OpenAlexW1214488562MaRDI QIDQ498185

G. I. Shishkin

Publication date: 28 September 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562415030059

zbMATH Keywords

singular perturbationdifference schemeinitial boundary value problemparabolic convection-diffusion equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

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

Cites Work

• Unnamed Item
• Stability of a standard finite difference scheme for a singularly perturbed convection-diffusion equation
• Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
• Difference Methods for Singular Perturbation Problems
• Conditioning of finite difference schemes for a singularly perturbed convection-diffusion parabolic equation

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