<?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>1909-8367</journal-id>
<journal-title><![CDATA[Entre Ciencia e Ingeniería]]></journal-title>
<abbrev-journal-title><![CDATA[Entre Ciencia e Ingenieria]]></abbrev-journal-title>
<issn>1909-8367</issn>
<publisher>
<publisher-name><![CDATA[Universidad Católica de Pereira]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1909-83672024000100025</article-id>
<article-id pub-id-type="doi">10.31908/19098367.2954</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Solución numérica de una ecuación de convección-difusión no local fraccionaria]]></article-title>
<article-title xml:lang="en"><![CDATA[Numerical solution of a non-local fractional convection-diffusion equation]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Osorio]]></surname>
<given-names><![CDATA[F.C.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Amador]]></surname>
<given-names><![CDATA[P. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bedoya]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Católica de Pereira  ]]></institution>
<addr-line><![CDATA[Pereira ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Cali,  ]]></institution>
<addr-line><![CDATA[Cali, ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Católica de Pereira  ]]></institution>
<addr-line><![CDATA[Pereira ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2024</year>
</pub-date>
<volume>18</volume>
<numero>35</numero>
<fpage>25</fpage>
<lpage>31</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1909-83672024000100025&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1909-83672024000100025&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1909-83672024000100025&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este artículo estudia la solución numérica de una ecuación de convección-difusión no local fraccionaria en el tiempo, definida en el sentido de Caputo. Las aproximaciones se desarrollan usando un esquema numérico explícito por medio del método de diferencias finitas. A partir de esta discretización y el método de Von Neumann, se establece la condición de estabilidad (CFL), con la cual se demuestran la propiedad de monotonía y la propiedad de variación total (TVD), así como algunas desigualdades importantes para la regularidad del esquema. Finalmente, se presentan algunos experimentos numéricos con un término fuente, para hallar las soluciones analíticas y realizar los cálculos respectivos de los errores y órdenes de convergencia con la aproximación numérica.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ Abstract This article investigates the numerical solutions of a fractional non-local convection-diffusion equation in time, defined in the Caputo sense. The approximations are developed using an explicit numerical scheme through the finite difference method. Through this discretization and the Von Neumann method, the Courant-Friedrichs-Lewy (CFL) stability condition is established, which demonstrates the monotonicity property and the total variation diminishing (TVD) property, along with some important inequalities for the regularity of the scheme. Finally, some numerical experiments with a source term are presented to find analytical solutions and perform the respective error calculations and convergence orders with the numerical approximation.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Diferencias finitas]]></kwd>
<kwd lng="es"><![CDATA[Molificación discreta]]></kwd>
<kwd lng="es"><![CDATA[Derivada fraccional]]></kwd>
<kwd lng="es"><![CDATA[ecuación no local]]></kwd>
<kwd lng="en"><![CDATA[Finite Differences]]></kwd>
<kwd lng="en"><![CDATA[Discrete Mollification]]></kwd>
<kwd lng="en"><![CDATA[Fractional Derivation]]></kwd>
<kwd lng="en"><![CDATA[Nonlocal Equation]]></kwd>
</kwd-group>
</article-meta>
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