A handy, accurate, invertible and integrable expression for Dawson’s function

Abstract 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.

Bibliographic Details

Main Authors:	Filobello-Nino,U., Vazquez-Leal,H., Herrera-May,A. L., Ambrosio-Lazaro,R. C., Castaneda-Sheissa,R., Jimenez-Fernandez,V. M., Sandoval-Hernandez,M. A., Contreras-Hernandez,A. D.
Format:	Digital revista
Language:	English
Published:	Universidad de Guanajuato, Dirección de Investigación y Posgrado 2019
Online Access:	http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0188-62662019000100175
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