Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation

DOI10.1134/S0965542517110136zbMath1383.65096OpenAlexW2769217581MaRDI QIDQ1702646

G. I. Shishkin

Publication date: 28 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542517110136

zbMATH Keywords

convergencetransport equationboundary layerShishkin meshmaximum normuniform meshdecomposition of solutionsingularly perturbed initial boundary value problemspecial difference schemestandard difference scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (5)

Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations ⋮ A difference scheme of the decomposition method for an initial boundary value problem for the singularly perturbed transport equation ⋮ An improved difference scheme for the Cauchy problem in the case of a transport equation ⋮ Parameter‐uniform numerical methods for singularly perturbed linear transport problems ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms

Cites Work

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• Fitted Numerical Methods For Singular Perturbation Problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Difference Methods for Singular Perturbation Problems
• Bicompact schemes and layered media

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