A ghost structure finite difference method for a fractional Fitzhugh-Nagumo monodomain model on moving irregular domain

DOI10.1016/j.jcp.2020.110081OpenAlexW3110765944MaRDI QIDQ2128363

Yongheng Wang, Xiaoyu Luo, Li Cai, Hao Gao, Xiaobing Feng

Publication date: 21 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://eprints.gla.ac.uk/227470/2/227470.pdf

zbMATH Keywords

finite difference methodfractional derivativesdelta functionFitzhugh-Nagumo monodomain modelghost structure method

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (4)

Effects of dispersed fibres in myocardial mechanics. II: active response ⋮ A fast time integral finite difference method for a space-time fractional FitzHugh-Nagumo monodomain model in irregular domains ⋮ Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional Fitzhugh-Nagumo model ⋮ Physics-informed neural networks based on adaptive weighted loss functions for Hamilton-Jacobi equations

Uses Software

• PETSc

Cites Work

• Unnamed Item
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
• A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain
• Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions
• Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
• Fourier spectral methods for fractional-in-space reaction-diffusion equations
• High-order finite element methods for time-fractional partial differential equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations
• A new fractional finite volume method for solving the fractional diffusion equation
• A space-fractional monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries
• Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
• Computational cardiology. Modeling of anatomy, electrophysiology, and mechanics.
• Numerical methods for solving the multi-term time-fractional wave-diffusion equation
• An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation
• Finite element method for space-time fractional diffusion equation
• An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
• The immersed boundary method
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• A numerical method for the fractional Fitzhugh–Nagumo monodomain model
• A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: A ghost structure finite difference method for a fractional Fitzhugh-Nagumo monodomain model on moving irregular domain