Numerical studies of a class of reaction–diffusion equations with Stefan conditions
From MaRDI portal
Publication:5030534
DOI10.1080/00207160.2019.1599868zbMath1480.65214OpenAlexW2924420073WikidataQ128173211 ScholiaQ128173211MaRDI QIDQ5030534
Yihong Du, Shuang Liu, Xin-Feng Liu
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1599868
level set methodreaction-diffusion equationsfront tracking methodfree boundariesdiffusive logistic models
Related Items (7)
Propagation and reaction–diffusion models with free boundaries ⋮ Traveling waves, blow‐up, and extinction in the Fisher–Stefan model ⋮ Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models ⋮ Propagation, diffusion and free boundaries ⋮ Numerical study of vanishing and spreading dynamics of chemotaxis systems with logistic source and a free boundary ⋮ Invasive behaviour under competition via a free boundary model: a numerical approach ⋮ A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model
- The Stefan problem for the Fisher-KPP equation
- Krylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methods
- Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
- A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
- A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate
- Compact integration factor methods in high spatial dimensions
- Front tracking for gas dynamics
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A numerical analysis of Stefan problems for generalized multi-dimensional phase-change structures using the enthalpy transforming model
- A front-tracking method for viscous, incompressible multi-fluid flows
- A level set approach for computing solutions to incompressible two-phase flow
- A simple level set method for solving Stefan problems
- Free boundary models for mosquito range movement driven by climate warming
- A PDE-based fast local level set method
- Two-dimensional front tracking based on high resolution wave propagation methods
- A variational level set approach to multiphase motion
- Spreading speed revisited: analysis of a free boundary model
- Regularity and asymptotic behavior of nonlinear Stefan problems
- Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method
- Efficient semi-implicit schemes for stiff systems
- A level-set method for interfacial flows with surfactant
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- The immersed boundary method
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- The Immersed Interface Method for Nonlinear Differential Equations with Discontinuous Coefficients and Singular Sources
- Conservative front tracking and level set algorithms
- A Front Tracking Method for Compressible Flames in One Dimension
- A fast marching level set method for monotonically advancing fronts.
- Heat conduction in a melting solid
- Level set methods: An overview and some recent results
- Numerical methods for a two-species competition-diffusion model with free boundaries
This page was built for publication: Numerical studies of a class of reaction–diffusion equations with Stefan conditions