Difference scheme for a singularly perturbed parabolic convection-diffusion equation in the presence of perturbations

DOI10.1134/S0965542515110159zbMath1336.65142MaRDI QIDQ267556

G. I. Shishkin

Publication date: 8 April 2016

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

zbMATH Keywords

convergenceboundary layer, standard difference scheme on uniform meshescomputer difference schemecomputer perturbations in computationsconditioning of schemesmaximum normparabolic convection-diffusion equationperturbations of data of the grid problemsingularly perturbed initial-boundary value problemstability of schemes to perturbations

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

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

Cites Work

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• Difference scheme of the solution decomposition method for a singularly perturbed parabolic reaction–diffusion equation
• Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation
• Optimization of methods of solving ordinary differential equations with strongly oscillating solutions

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