Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model
From MaRDI portal
Publication:2114673
DOI10.1007/S40819-021-01153-9OpenAlexW3203183407MaRDI QIDQ2114673
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01153-9
reaction-diffusionexplicit SSP-RK33 schemegeneralized FitzHugh-Nagumomixed-type discontinuous Galerkin
Related Items (3)
Numerical simulations of Richtmyer-Meshkov instability of \(\mathrm{SF}_6\) square bubble in diatomic and polyatomic gases ⋮ Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble ⋮ High-fidelity simulations for Turing pattern formation in multi-dimensional Gray-Scott reaction-diffusion system
Cites Work
- Unnamed Item
- On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients
- Stability of travelling front solutions of the FitzHugh-Nagumo equations
- A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
- Bifurcation structure of rotating wave solutions of the Fitzhugh-Nagumo equations
- Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
- New exact solutions to the Fitzhugh-Nagumo equation
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation
- Pseudospectral method of solution of the Fitzhugh-Nagumo equation
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Multidimensional nonlinear diffusion arising in population genetics
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- On an explicit duck solution and delay in the FitzHugh-Nagumo equation
- Resonance in a noise-driven excitable neuron model
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- A super-parallel mixed explicit discontinuous Galerkin method for the second-order Boltzmann-based constitutive models of rarefied and microscale gases
- Emergence of synchronous oscillations in neural networks excited by noise
- Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation
- An explicit modal discontinuous Galerkin method for Boltzmann transport equation under electronic nonequilibrium conditions
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- Strongly out-of-equilibrium simulations for electron Boltzmann transport equation using modal discontinuous Galerkin approach
- Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh–Nagumo equation
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Finite bandwidth, finite amplitude convection
- On a Nonlinear Diffusion Equation Describing Population Growth
This page was built for publication: Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model