High-order upwind finite volume element schemes for modelling of neuronal firing

DOI10.1080/00207160.2013.801463zbMath1323.92050OpenAlexW2037698770MaRDI QIDQ2875303

Quanxiang Wang, Zhi-Yue Zhang

Publication date: 14 August 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.801463

zbMATH Keywords

hyperbolic equationupwind finite volume element methodneuronal firing

Mathematics Subject Classification ID

Neural biology (92C20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Higher-order MUSCL scheme for transport equation originating in a neuronal model

Cites Work

• Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution
• A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
• Quadratic finite volume element method for the improved Boussinesq equation
• Quadratic finite volume element method for the air pollution model
• Numerical solution of first-order hyperbolic partial differential-difference equation with shift
• Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
• Error estimates of finite volume element method for the pollution in groundwater flow
• Finite Volume Methods for Hyperbolic Problems

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