Unconditionally monotone schemes for unsteady convection-diffusion problems

DOI10.1515/cmam-2013-0002zbMath1393.65006OpenAlexW2079723301WikidataQ57694591 ScholiaQ57694591MaRDI QIDQ1641917

Alexander G. Churbanov, Nadyezhda M. Afanas'eva, Petr N. Vabishchevich

Publication date: 20 June 2018

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2013-0002

zbMATH Keywords

convection-diffusion problemsfinite difference schemesmonotone schemeslogarithmic normsplitting schemes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) 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 (5)

On the consistent two-side estimates for the solutions of quasilinear convection-diffusion equations and their approximations on non-uniform grids ⋮ Alternating triangular schemes for convection-diffusion problems ⋮ Monotone schemes for convection-diffusion problems with convective transport in different forms ⋮ Exact difference schemes for a two-dimensional convection-diffusion-reaction equation ⋮ Economical explicit-implicit schemes for solving multidimensional diffusion-convection problems

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