Approximation by the Legendre collocation method of a model problem in electrophysiology

DOI10.1016/0377-0427(92)90270-8zbMath0762.65076OpenAlexW2025196580MaRDI QIDQ1195735

Daniele Funaro

Publication date: 18 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90270-8

zbMATH Keywords

diffusioncollocation methodnumerical resultsspectral methodsLegendre-Gauss-Lobatto nodeselectro-physiology

Mathematics Subject Classification ID

Neural biology (92C20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

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Spectral Method and High-Order Finite Differences for the Nonlinear Cable Equation ⋮ Magnetostriction of a Hard Ferromagnetic and Elastic Thin-Film Structure

Cites Work

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• An implicit/explicit spectral method for Burgers' equation
• A mathematical model of potential spreading along neuron dendrites of cerebellar granule cells
• Mathematical study of a nonlinear neuron multi-dendritic model
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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