AN EXACT SOLUTION OF THE DISCRETE SMOLUCHOWSKI EQUATION AND ITS CORRESPONDENCE TO THE SOLUTION OF THE CONTINUOUS EQUATION

An exact, general solution of the discrete Smoluchowski equation for the kernel Kk,=A+B(k+j) is derived. Rules are given for taking the continuous limit of the discrete solution. The limit obtained is an exact, general solution of the continuous Smoluchowski equation. Examples of limits are given for specific initial distributions for the case of constant kernel.