Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations

DOI10.1186/s13662-018-1907-1zbMath1448.65110OpenAlexW2903210299WikidataQ128821940 ScholiaQ128821940MaRDI QIDQ1716332

Yong Zhang, Li-Bin Liu, Guangqing Long

Publication date: 4 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1907-1

zbMATH Keywords

upwind finite difference schemesingularly perturbedadaptive grid method

Mathematics Subject Classification ID

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 (6)

Efficient High-Order Discretization Methods for Coupled Systems of Singularly Perturbed Parabolic Convection-Diffusion Problems ⋮ An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems ⋮ A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs ⋮ Parameter uniform numerical method for a system of singularly perturbed parabolic convection-diffusion equations ⋮ Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh ⋮ A splitting uniformly convergent method for one-dimensional parabolic singularly perturbed convection-diffusion systems

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