<?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>S0188-62662019000100158</article-id>
<article-id pub-id-type="doi">10.15174/au.2019.2065</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[An easy and computable approximation for Troesch&#8217;s problem by using the Laplace Transform-Homotopy Perturbation Method]]></article-title>
<article-title xml:lang="es"><![CDATA[Una solución aproximada y práctica al problema de Troesch utilizando el Método de Perturbación Homotópica con Transformada de Laplace]]></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"/>
</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"/>
</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[Cervantes-Perez]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pereyra-Diaz]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hoyos-Reyes]]></surname>
<given-names><![CDATA[C.]]></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[Huerta-Chua]]></surname>
<given-names><![CDATA[J.]]></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[,Universidad Veracruzana Centro de Investigación en Micro y Nanotecnología ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,National Institute for Astrophysics, Optics and Electronics  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad Veracruzana Facultad de Ingeniería en Electrónica y Comunicaciones ]]></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=S0188-62662019000100158&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0188-62662019000100158&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0188-62662019000100158&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This work introduces the Laplace Transform-Homotopy Perturbation Method (LT-HPM) in order to provide an approximate solution for Troesch&#8217;s problem. After comparing figures between exact and approximate solutions, as well as the average absolute relative error (AARE) of the approximate solutions of this research, with others reported in the literature, it can be said that the proposed solutions are accurate and handy. In conclusion, LT-HPM is a potentially useful tool.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este artículo propone el método de perturbación homotópica con Transformada de Laplace para encontrar una solución aproximada al problema de Troesch. Después de comparar las figuras entre la solución aproximada y la exacta, así como el error relativo absoluto promedio (AARE) de las soluciones aproximadas en este estudio, con otras reportadas en la literatura, se puede decir que la solución propuesta es, además de práctica, precisa. Se concluye que el método LTHPM es potencialmente útil.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Laplace Transform]]></kwd>
<kwd lng="en"><![CDATA[Homotopy Perturbation Method]]></kwd>
<kwd lng="en"><![CDATA[Troesch&#8217;s Problem]]></kwd>
<kwd lng="es"><![CDATA[Transformada de Laplace]]></kwd>
<kwd lng="es"><![CDATA[Método de Perturbación Homotópica]]></kwd>
<kwd lng="es"><![CDATA[Problema de Troesch]]></kwd>
</kwd-group>
</article-meta>
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