A Novel Explicit Positivity-Preserving Finite-Difference Scheme for Simulating Bounded Growth of Biological Films
From MaRDI portal
Publication:2972095
DOI10.1142/S0219876216400132zbMath1359.92002MaRDI QIDQ2972095
No author found.
Publication date: 7 April 2017
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Thin films (74K35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Physiological, cellular and medical topics (92C99) Computational methods for problems pertaining to biology (92-08)
Related Items (3)
Unconditionally positive NSFD and classical finite difference schemes for biofilm formation on medical implant using Allen-Cahn equation ⋮ Application of Positivity-Preserving Discontinuous Galerkin Scheme in Gaseous Detonations ⋮ Numerical solution of a malignant invasion model using some finite difference methods
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive and elementary stable nonstandard numerical methods with applications to predator-prey models
- Time-discretization of a degenerate reaction-diffusion equation arising in biofilm modeling
- A positive numerical scheme for a mixed-type partial differential equation model for fungal growth
- A high-order conservative Patankar-type discretisation for stiff systems of production--destruction equations
- Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains
- An unconditionally positivity preserving scheme for advection-diffusion reaction equations
- A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
- AN EFFICIENT RECURSIVE ALGORITHM IN THE COMPUTATIONAL SIMULATION OF THE BOUNDED GROWTH OF BIOLOGICAL FILMS
- A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption
This page was built for publication: A Novel Explicit Positivity-Preserving Finite-Difference Scheme for Simulating Bounded Growth of Biological Films
