Adomian decomposition method solution of population balance equations for aggregation, nucleation, growth and breakup processes

The dynamic behavior of particulate processes under the influence of the nonlinear aggregation term, nucleation, growth and breakup is studied. Analytic solutions are obtained from the integro-differential population balance equation governing the particle size distribution density function for special cases by the Adomian decomposition method (ADM) and are compared with other analytical solutions available in the literature. It avoids the difficulty numerical stability that often characterizes general numerical techniques in this area. It generates an infinite series which converges uniformly to the exact solution of the problem. For the case where there are no previous results a comparison between the present method and projection method which include collocation techniques is made. The results obtained indicate that the Adomian decomposition method is highly accurate, efficient and are useful for further work. (C) 2014 Elsevier Inc. All rights reserved.