z-logo
open-access-imgOpen Access
A handy, accurate, invertible and integrable expression for Dawson’s function
Author(s) -
U. Filobello-Nino,
H. Vázquez-Leal,
Agustín L. HerreraMay,
R. C. Ambrosio-Lazaro,
R. Castaneda-Sheissa,
Maribel JiménezFernández,
M. A. Sandoval-Hernandez,
A. D. Contreras-Hernandez
Publication year - 2019
Publication title -
acta universitaria
Language(s) - English
Resource type - Journals
eISSN - 2007-9621
pISSN - 0188-6266
DOI - 10.15174/au.2019.2124
Subject(s) - invertible matrix , integrable system , approximation error , expression (computer science) , function (biology) , mathematics , error function , function approximation , mathematical analysis , pure mathematics , algorithm , computer science , artificial intelligence , evolutionary biology , artificial neural network , biology , programming language
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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here