A second‐order, chaos‐free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology

DOI10.1002/num.1690090302zbMath0770.65055OpenAlexW2057176020MaRDI QIDQ5286176

E. H. Twizell, Yigong Wang, W. G. Price

Publication date: 29 June 1993

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690090302

zbMATH Keywords

stabilityconvergencenumerical experimentsfinite difference methodsconduction of electrical impulses along a nerve axondiffusion equation with cubic reaction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural biology (92C20) Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I

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