A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation

DOI10.1016/j.apnum.2022.02.009zbMath1485.76064OpenAlexW4213292388WikidataQ115586104 ScholiaQ115586104MaRDI QIDQ2120801

Yanyan Li

Publication date: 1 April 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.02.009

zbMATH Keywords

method of linesexponential filterGalerkin-Legendre spectral methoderrror analysisupper-convected viscoelastic fluid

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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