Adaptive time-stepping schemes for the solution of the Poisson-Nernst-Planck equations

DOI10.1016/j.apnum.2021.01.018zbMath1462.65116arXiv1703.10297OpenAlexW3126406745MaRDI QIDQ1995976

M. C. Pugh, David Yan, F. P. Dawson

Publication date: 2 March 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10297

zbMATH Keywords

Poisson-Nernst-Planck equationsadaptive time-steppingsemi-implicit methodsImEx methods

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Electrochemistry (78A57)

Related Items (2)

A multi-scale simulation of retinal physiology ⋮ A study of the numerical stability of an ImEx scheme with application to the Poisson-Nernst-Planck equations

Uses Software

• Matlab
• Chebfun
• GitHub

Cites Work

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