Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations
Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations
We consider in this paper random batch interacting particle methods for solving the Poisson-Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann (PB) equation as the equilibrium, in the external unbounded domain.To justify the simulation in a truncated domain, an error estimate of the truncation is proved in the symmetric cases for …