Comparison between the analytical (solid) and numerical (dashed) solutions to the Smoluchowski equation, at various adimensioned time steps, in the case of a constant (left) and additive (right) kernels, with 35 size bins equally spaced in logarithmic scale over a range [4 × 10⁻⁶ : 4 × 10⁸] in mass (η = 0.4). Diamonds indicate the mean mass and mass density in each bin. Grain growth is linear with time for the constant kernel, and exponential with time for the additive kernel.