Aerosol modeling is very important to study the behavior of aerosol dynamics
in atmospheric environment. In this paper we consider numerical methods
for the nonlinear aerosol dynamic equations on time and particle size. The finite volume
element methods based on the linear interpolation and Hermite interpolation are
provided to approximate the aerosol dynamic equation where the condensation and
removal processes are considered. Numerical examples are provided to show the effi-
ciency of these numerical methods.