Computer difference scheme for a singularly perturbed elliptic convection-diffusion equation in the presence of perturbations

DOI10.1134/S0965542517050128zbMath1372.65290OpenAlexW2623340828MaRDI QIDQ2401107

G. I. Shishkin

Publication date: 31 August 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517050128

zbMATH Keywords

convergenceboundary layersingularly perturbed boundary value problemconditioning of schemesmaximum normperturbations of data of the grid problemstability of schemes to perturbationselliptic convection-diffusion equationcomputer perturbationscomputer schemereliable difference schemestandard difference scheme on uniform meshes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms

Cites Work

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• Difference scheme for a singularly perturbed parabolic convection-diffusion equation in the presence of perturbations
• Stability of a standard finite difference scheme for a singularly perturbed convection-diffusion equation
• Standard scheme for a singularly perturbed parabolic convection-diffusion equation with computer perturbations
• Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
• Data perturbation stability of difference schemes on uniform grids for a singularly perturbed convection–diffusion equation
• Fitted Numerical Methods For Singular Perturbation Problems
• Computer difference scheme for a singularly perturbed convection-diffusion equation
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Difference Methods for Singular Perturbation Problems
• Conditioning of finite difference schemes for a singularly perturbed convection-diffusion parabolic equation
• Difference scheme of the solution decomposition method for a singularly perturbed parabolic reaction–diffusion equation
• Standard Difference Scheme for a Singularly Perturbed Convection-Diffusion Equation in the Presence of Perturbations
• Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation

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