Time-discretization of a degenerate reaction-diffusion equation arising in biofilm modeling

zbMath1112.65088MaRDI QIDQ871179

Antonija Duvnjak, Hermann J. Eberl

Publication date: 16 March 2007

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127453

zbMATH Keywords

method of linesbiofilm modelnonlinear diffusionRothe methoddegenerate parabolic equationstime-discretization scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Degenerate parabolic equations (35K65) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

Analysis of a finite-volume scheme for a single-species biofilm model ⋮ A Novel Explicit Positivity-Preserving Finite-Difference Scheme for Simulating Bounded Growth of Biological Films ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Time adaptive numerical solution of a highly degenerate diffusion-reaction biofilm model based on regularisation ⋮ Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids ⋮ Numerical methods for a nonlinear reaction-diffusion system modelling a batch culture of biofilm ⋮ Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection

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