Numerical treatment of Gray-Scott model with operator splitting method
From MaRDI portal
Publication:2056513
DOI10.3934/dcdss.2020143zbMath1475.65061OpenAlexW2990215538MaRDI QIDQ2056513
Publication date: 8 December 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020143
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) PDEs in connection with computer science (35Q68)
Related Items (2)
CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems ⋮ Numerical solutions of certain new models of the time-fractional Gray-Scott
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method
- On the solutions of time-fractional reaction-diffusion equations
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems
- New solitary wave solutions to the modified Kawahara equation
- A Chebyshev spectral collocation method for solving Burgers'-type equations
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- A collocation solution for Burgers' equation using cubic B-spline finite elements
- Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions
- Robust IMEX schemes for solving two-dimensional reaction-diffusion models
- Numerical simulation for computational modelling of reaction-diffusion Brusselator model arising in chemical processes
- Numerical solution of singular patterns in one-dimensional Gray-Scott-like models
- Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations
- Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains
- Numerical analysis and pattern formation process for space-fractional superdiffusive systems
- Propagation of HBV with spatial dependence
- A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations
- Pattern formation in the one-dimensional Gray - Scott model
- The Hunter‐Saxton Equation: A Numerical Approach Using Collocation Method
- Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension
- Operator splitting for numerical solution of the modified Burgers' equation using finite element method
- A finite element approach for analysis and computational modelling of coupled reaction diffusion models
- Reaction-Superdiffusion Systems in Epidemiology, an Application of Fractional Calculus
- Exact solutions of reaction-diffusion systems and nonlinear wave equations
This page was built for publication: Numerical treatment of Gray-Scott model with operator splitting method
