<?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>S0188-62662024000100115</article-id>
<article-id pub-id-type="doi">10.15174/au.2024.3779</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[A handy analytical approximate solution for the magnetohydrodynamic flow of blood in a porous channel]]></article-title>
<article-title xml:lang="es"><![CDATA[Una solución aproximada y analítica del flujo magnetohidrodinámico de la sangre en un canal poroso]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Filobello-Nino]]></surname>
<given-names><![CDATA[Uriel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vazquez-Leal]]></surname>
<given-names><![CDATA[Hector]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Huerta-Chua]]></surname>
<given-names><![CDATA[Jesus]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Callejas-Molina]]></surname>
<given-names><![CDATA[Rogelio Alejandro]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Trigos]]></surname>
<given-names><![CDATA[Ángel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Salinas-Castro]]></surname>
<given-names><![CDATA[Alejandro]]></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[Xalapa Veracruz]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Tecnológico Nacional de México Instituto Tecnológico Superior de Poza Rica ]]></institution>
<addr-line><![CDATA[Poza Rica Veracruz]]></addr-line>
<country>México</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Instituto Tecnológico de Celaya  ]]></institution>
<addr-line><![CDATA[Celaya Guanajuato]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Universidad Veracruzana Centro de Investigación en Micología Aplicada ]]></institution>
<addr-line><![CDATA[Xalapa Veracruz]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2024</year>
</pub-date>
<volume>34</volume>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0188-62662024000100115&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0188-62662024000100115&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0188-62662024000100115&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This work presents a new version of the Picard method, known as the boundary values problems Picard method (BVPP), to obtain an analytical approximate solution for a highly complex nonlinear differential equation that models the magnetohydrodynamic flow of blood through a porous channel. The proposed method is versatile and can produce compact and easily evaluated analytical expressions that accurately capture the scientific phenomena being studied, making it ideal for practical applications. BVPP transforms a differential equation into an integral equation and utilizes an iterative algorithm like that of the basic Picard method. However, unlike the basic method, BVPP allows for the selection of an appropriate initial function and involves several adjustable parameters that can be optimized to obtain a precise analytical approximate solution with minimal effort. Overall, BVPP represents a significant advancement in the analysis of complex nonlinear differential equations, particularly in the field of biomedical engineering.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este trabajo presenta una versión nueva del método de Picard, conocido como método de Picard para problemas de valores en la frontera (BVPP, por sus siglas en inglés), para obtener una solución analítica aproximada para la ecuación diferencial no lineal difícil de resolver que modela el flujo magnetohidrodinámico de la sangre a través de un canal poroso. El método propuesto es versátil y puede proporcionar expresiones analíticas compactas, fáciles de evaluar, que describen con precisión los fenómenos científicos estudiados, haciendo a BVPP un método ideal para usarse en aplicaciones prácticas. BVPP transforma una ecuación diferencial en una ecuación integral y utiliza un algoritmo iterativo, tal como en el método de Picard básico; sin embargo, a diferencia del método básico, BVPP permite la elección de una función inicial apropiada provista de varios parámetros de ajuste que se optimizan para obtener una solución analítica aproximada y precisa con un esfuerzo mínimo. En términos generales, BVPP representa un avance significativo en el análisis de ecuaciones diferenciales difíciles de resolver, particularmente en el campo de la ingeniería biomédica.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Approximate solution]]></kwd>
<kwd lng="en"><![CDATA[nonlinear ordinary differential equation]]></kwd>
<kwd lng="en"><![CDATA[Picard method]]></kwd>
<kwd lng="en"><![CDATA[flow of blood through a porous channel]]></kwd>
<kwd lng="es"><![CDATA[Solución aproximada]]></kwd>
<kwd lng="es"><![CDATA[ecuación diferencial no lineal]]></kwd>
<kwd lng="es"><![CDATA[método de Picard]]></kwd>
<kwd lng="es"><![CDATA[flujo de sangre a través de un canal poroso]]></kwd>
</kwd-group>
</article-meta>
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