Bj. Yoon, INTEGRAL-EQUATION APPROACH FOR SOLVING THE NONLINEAR POISSON-BOLTZMANN EQUATION, Journal of colloid and interface science, 192(2), 1997, pp. 503-504
A simple iterative method is devised for solving the nonlinear Poisson
-Boltzmann equation. The method is based on the integral representatio
n of the Poisson-Boltzmann equation and can be readily implemented for
determining the potential and charge density around particles of vari
ous shapes. As an illustrative example the method is applied for compu
ting the potential and surface charge density of the spherical double
layer. (C) 1997 Academic Press.