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math.NA2024
A structure-preserving implicit exponential time differencing scheme for Maxwell-Amp`ere Nernst-Planck model
Yunzhuo Guo, Qian Yin, Zhengru Zhang
The transport of charged particles, which can be described by the Maxwell-Ampere Nernst-Planck (MANP) framework, is essential in various applications including ion channels and sem…
math.NA2024
A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition
Yunzhuo Guo, Cheng Wang, Steven M. Wise +1
In this paper we propose and analyze a finite difference numerical scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. The singular logarithmic p…