<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0188-6266</journal-id>
<journal-title><![CDATA[Acta universitaria]]></journal-title>
<abbrev-journal-title><![CDATA[Acta univ]]></abbrev-journal-title>
<issn>0188-6266</issn>
<publisher>
<publisher-name><![CDATA[Universidad de Guanajuato, Dirección de Investigación y Posgrado]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0188-62662019000100175</article-id>
<article-id pub-id-type="doi">10.15174/au.2019.2124</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A handy, accurate, invertible and integrable expression for Dawson&#8217;s function]]></article-title>
<article-title xml:lang="es"><![CDATA[Una expresión compacta y precisa además de invertible e integrable de la función de Dawson]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Filobello-Nino]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vazquez-Leal]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Herrera-May]]></surname>
<given-names><![CDATA[A. L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ambrosio-Lazaro]]></surname>
<given-names><![CDATA[R. C.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Castaneda-Sheissa]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jimenez-Fernandez]]></surname>
<given-names><![CDATA[V. M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sandoval-Hernandez]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Contreras-Hernandez]]></surname>
<given-names><![CDATA[A. D.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Veracruzana Facultad de Instrumentación Electrónica ]]></institution>
<addr-line><![CDATA[Xalapa Veracruz]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Consejo Veracruzano de Investigación Científica y Desarrollo Tecnológico  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Veracruzana Facultad de Ingeniería de la Construcción y el Hábitat ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad Veracruzana Centro de Investigación en Micro y Nanotecnología ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Benemérita Universidad Autónoma de Puebla  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af6">
<institution><![CDATA[,Universidad de Xalapa Escuela de Ingeniería ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2019</year>
</pub-date>
<volume>29</volume>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0188-62662019000100175&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0188-62662019000100175&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0188-62662019000100175&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This article proposes a handy, accurate, invertible and integrable expression for Dawson&#8217;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&#8217;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.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo se propone una expresión compacta y precisa de la función de Dawson, la cual es invertible e integrable. Se observa que el error relativo máximo que se encuentra empleando la aproximación aquí propuesta es del 2.5%. Por consiguiente, se hace notar que la aproximación a la integral de la función de Dawson, que se expresa solo en términos de funciones elementales, tiene un error absoluto máximo de 7 × 10-3. A manera de ejemplo, se aplicará la aproximación aquí propuesta a un problema no-clásico de conducción de calor para obtener una solución aproximada, compacta y precisa.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Dawson&#8217;s function]]></kwd>
<kwd lng="en"><![CDATA[ordinary differential equation]]></kwd>
<kwd lng="en"><![CDATA[approximate methods]]></kwd>
<kwd lng="en"><![CDATA[Stefan problem]]></kwd>
<kwd lng="es"><![CDATA[Función de Dawson]]></kwd>
<kwd lng="es"><![CDATA[ecuaciones diferenciales ordinarias]]></kwd>
<kwd lng="es"><![CDATA[métodos aproximados]]></kwd>
<kwd lng="es"><![CDATA[problema de Stefan]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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