A finite difference method for solving generalized FitzHugh-Nagumo equation

DOI10.1063/1.5020467zbMath1469.65132OpenAlexW2784084503MaRDI QIDQ3382107

Bilge Inan

Publication date: 20 September 2021

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5020467

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (6)

A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques ⋮ A linearly implicit scheme and fast multigrid solver for 3D FitzHugh-Nagumo equation ⋮ Exponential finite difference methods for solving Newell-Whitehead-Segel equation ⋮ Analytical and numerical solutions of the <scp>Fitzhugh–Nagumo</scp> equation and their multistability behavior ⋮ Analysis of two spectral Galerkin approximation schemes for solving the perturbed FitzHugh-Nagumo neuron model ⋮ A mathematical model of population dynamics revisited with fear factor, maturation delay, and spatial coefficients

Cites Work

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• A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
• Pseudospectral method of solution of the Fitzhugh-Nagumo equation
• Exponential finite-difference method applied to Korteweg--de Vries equation for small times
• Identifying generalized Fitzhugh-Nagumo equation from a numerical solution of Hodgkin-Huxley model
• A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation
• An explicit conditionally stable finite difference equation for-heat conduction problems
• Finite-difference solutions of partial differential equations

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