A difference scheme of the decomposition method for an initial boundary value problem for the singularly perturbed transport equation

DOI10.1134/S0965542522070089zbMath1496.65129MaRDI QIDQ2169007

G. I. Shishkin, L. P. Shishkina

Publication date: 29 August 2022

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

zbMATH Keywords

transport equationboundary layeruniform gridmaximum normdecomposition of solutionsingularly perturbed initial boundary value problemstandard difference scheme\( \varepsilon \)-uniform convergencecontinual approximation of solution

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Transport equations (35Q49)

Cites Work

• Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation
• Fitted Numerical Methods For Singular Perturbation Problems
• Difference Methods for Singular Perturbation Problems
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