Excellence in Research and Innovation for Humanity
%0 Journal Article
%A Bilal Barakeh
%D 2011 
%J  International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
%B World Academy of Science, Engineering and Technology
%I International Science Index 59, 2011
%T Analytical and Numerical Approaches in Coagulation of Particles
%U http://waset.org/publications/2008
%V 59
%X In this paper we discuss the effect of unbounded particle interaction operator on particle growth and we study how this can address the choice of appropriate time steps of the numerical simulation. We provide also rigorous mathematical proofs showing that large particles become dominating with increasing time while small particles contribute negligibly. Second, we discuss the efficiency of the algorithm by performing numerical simulations tests and by comparing the simulated solutions with some known analytic solutions to the Smoluchowski equation.

%P 1750 - 1755