A robust finite difference scheme for strongly coupled systems of singularly perturbed convection‐diffusion equations

DOI10.1002/num.22188zbMath1383.65132OpenAlexW2744692708MaRDI QIDQ4603192

Suh-Yuh Yang, Po-Wen Hsieh, Cheng-Shu You

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22188

zbMATH Keywords

numerical exampleuniform convergenceboundary and interior layersmagnetohydrodynamic duct flowstrongly coupled systemsingularly perturbed convection-diffusion equationIl'in-Allen-Southwell scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite difference methods for boundary value problems involving PDEs (65N06)

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Physics-informed neural networks with parameter asymptotic strategy for learning singularly perturbed convection-dominated problem ⋮ Numeric solution of advection–diffusion equations by a discrete time random walk scheme

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