Resumo

FILOBELLO-NINO, U. et al. A handy, accurate, invertible and integrable expression for Dawson’s function. Acta univ [online]. 2019, vol.29, e2124.  Epub 10-Jan-2020. ISSN 2007-9621.  https://doi.org/10.15174/au.2019.2124.

This article proposes a handy, accurate, invertible and integrable expression for Dawson’s function. It can be observed that the biggest relative error committed, employing the proposed approximation here, is about 2.5%. Therefore, it is noted that this integral approximation to Dawson’s function, expressed only in terms of elementary functions, has a maximum absolute error of just 7 × 10-3. As a case study, the integral approximation proposed here will be applied to a nonclassical heat conduction problem, contributing to obtain a handy, accurate, analytical approximate solution for that problem.

Palavras-chave : Dawson’s function; ordinary differential equation; approximate methods; Stefan problem.