A second order accurate, positivity preserving numerical method for the Poisson-Nernst-Planck system and its convergence analysis

DOI10.1007/s10915-023-02345-9arXiv2208.06123MaRDI QIDQ6077291

Steven M. Wise, Chun Liu, Xing Ye Yue, Cheng Wang, Shenggao Zhou

Publication date: 17 October 2023

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06123

zbMATH Keywords

energy stabilitypositivity preservingsecond order accuracyPoisson-Nernst-Planck (PNP) systemoptimal rate convergence analysisrough error estimate and refined estimate

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) 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 analysis (65-XX)

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