Open AccessA 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