Convergence analysis of structure-preserving numerical methods based on slotboom transformation for the Poisson-Nernst-Planck equations

DOI10.4310/cms.2023.v21.n2.a7arXiv2202.10931MaRDI QIDQ6171052

Cheng Wang, Shenggao Zhou, Jie Ding

Publication date: 17 July 2023

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.10931

zbMATH Keywords

Poisson-Nernst-Planck equationsconvergence analysis and error estimatehigher order consistency estimatemobility averageslotboom reformulation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Numerical analysis (65-XX)

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