We present a rational approximation for the Dawson's integral of real argument and show how it can be implemented for accurate and rapid computation of the Voigt function at small $y < < 1$. The algorithm based on this approach enables computation with accuracy exceeding ${ 10^{ - 10}}$ within the domain $0 \le x \le 15$ and $0 \le y \le { 10^{ - 6}}$. Due to rapid performance the proposed rational approximation runs the algorithm without deceleration.
Categories: math.NA