A finite volume method with linearisation in time for the solution of advection-reaction-diffusion systems

DOI10.1016/j.amc.2013.12.179zbMath1410.65343OpenAlexW2043390907MaRDI QIDQ1644560

Jayantha Pasdunkorale Arachchige, Graeme J. Pettet

Publication date: 21 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.179

zbMATH Keywords

diffusionshockfinite volume methodchemotaxisadvectionnonlinearreaction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (3)

An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation ⋮ High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems ⋮ Newton linearization of the Navier-Stokes equations for flow computations using a fully coupled finite volume method

Cites Work

• Unnamed Item
• Unnamed Item
• Studies on the accuracy of time-integration methods for the radiation-diffusion equations
• Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
• Computational approaches to solving equations arising from wound healing
• Tactically-driven nonmonotone travelling waves
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• A model of wound-healing angiogenesis in soft tissue
• A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation
• On balanced approximations for time integration of multiple time scale systems.
• A finite volume method for one-dimensional reaction-diffusion problems
• Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
• Mathematical Modelling of Tumour Invasion and Metastasis
• Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions

This page was built for publication: A finite volume method with linearisation in time for the solution of advection-reaction-diffusion systems