A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms

DOI10.1007/s12591-017-0385-3zbMath1415.35013OpenAlexW2749568566MaRDI QIDQ2415429

Yanyan Li

Publication date: 21 May 2019

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-017-0385-3

zbMATH Keywords

adaptive meshreaction-convection-diffusiontime dependent problemparameter uniform numerical method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Linear higher-order PDEs (35G05) Initial-boundary value problems for linear higher-order PDEs (35G16) Initial-boundary value problems for second-order parabolic systems (35K51)

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