Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes-Reference-Cited by-同舟云学术

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Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes

Published:2019-02 Issue:4 Volume:77 Page:1055-1070
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Zhou Huifang,Sheng Zhiqiang,Yuan Guangwei

Funder

the National Natural Science Foundation of China

NSAF

Science Challenge Project

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference28 articles.

1. CNN model for studying dynamics and travelling wave solutions of fitzhugh-nagumo equation;Slavova;J. Comput. Appl. Math.,2003

2. Rotating wave solutions of the fitzhugh-nagumo equations;Alford;J. Math. Biol.,2006

3. Resetting and annihilation of reentrant abnormally rapid heartbeat;Glass;Phys. Rev. Lett.,1995

4. Some mathematical problems from neurobiology;Hastings,1975

5. Rotating spiral waves in a modified FitzHugh-Nagumo model;Pertsov;Physica D,1984

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1. A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations;Journal of Computational and Applied Mathematics;2024-12

2. On discrete FitzHugh–Nagumo reaction–diffusion model: Stability and simulations;Partial Differential Equations in Applied Mathematics;2024-09

3. A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes;Advances in Applied Mathematics and Mechanics;2023-06

4. A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes;Numerical Methods for Partial Differential Equations;2023-05-26

5. Finite element analysis of nonlinear reaction–diffusion system of Fitzhugh–Nagumo type with Robin boundary conditions;Mathematics and Computers in Simulation;2023-01

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