A positive finite-difference model in the computational simulation of complex biological film models

DOI10.1080/10236198.2013.863284zbMath1319.92046OpenAlexW2076068269MaRDI QIDQ2941705

Jorge Eduardo Macías-Díaz

Publication date: 24 August 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.863284

zbMATH Keywords

\(M\)-matricespositivity-preservinglinear finite-difference schemeboundedness-preservingcomplex biological filmextracellular polymeric substance biofilm model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Partial difference equations (39A14) Numerical methods for difference equations (65Q10)

Related Items (9)

A fast and unconditionally positive finite-difference discretization of a multidimensional equation in nonlinear population dynamics ⋮ On a positivity-preserving numerical model for a linearized hyperbolic Fisher-Kolmogorov-Petrovski-Piscounov equation ⋮ Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells ⋮ On the periodicity of a max-type rational difference equation ⋮ Time adaptive numerical solution of a highly degenerate diffusion-reaction biofilm model based on regularisation ⋮ A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers-Fisher equation ⋮ A compact exponential method for the efficient numerical simulation of the dewetting process of viscous thin films ⋮ Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids ⋮ On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential equations

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