Integral equation approach for solving the nonlinear Poisson-Boltzmann equation

Abstract

A simple iterative method is devised for solving the nonlinear Poisson-Boltzmann equation. The method is based on the integral representation of the Poisson-Boltzmann equation and can be readily implemented for determining the potential and charge density around particles of various shapes. As an illustrative example the method is applied for computing the potential and surface charge density of the spherical double layer. (C) 1997 Academic Press.