Modeling of coagulation process in spatial uniform case

Coagulation process for large system, playing a great role in the process of evolution of cloud's drops (gravitation coagulation), is simulated. Convergence of approximate method, given by difference scheme, to functional solution of Cauchy problem for Smoluchowski's equation in spatial uniform case is proved. Convergence of numerical method, given by difference scheme, to classic solution of Cauchy problem for Smoluchowski's equation in spatial uniform case is proved. Coagulation process model is constructed. The numerical testing of both models and comparative analysis of results are given.