Numerical calculations of the dynamic scattering function $S(\overrightarrow{\mathrm{k}}, \omega )$, the intermediate scattering function, and the van Hove distribution function $\mathrm{G}(\overrightarrow{\mathcal{r}}, t)$, based on an approximate expression for $S(\overrightarrow{\mathrm{k}}, \omega )$ proposed in an earlier paper, are presented. The liquid structure factor $S\left(\overrightarrow{\mathrm{k}}\right)$ and first two even moments of $S(\overrightarrow{\mathrm{k}}, \omega )$, which are needed as input, are obtained by means of the Percus-Yevick equation with a Lennard-Jones potential, making the calculation entirely self-contained. The calculation is applied to the liquid-argon case studied through molecular dynamics by Rahman; comparisons with these results and those of experiment show good qualitative agreement. A brief description of the numerical procedure is included.

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