<?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>0121-7488</journal-id>
<journal-title><![CDATA[Ciencia en Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ciencia en Desarrollo]]></abbrev-journal-title>
<issn>0121-7488</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-74882024000100150</article-id>
<article-id pub-id-type="doi">10.19053/01217488.v15.n1.2024.16629</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Aplicación de un método de cociente de diferencias de dos lados en la solución de un problema inverso mal puesto no lineal de una ecuación elíptica auto-adjunta]]></article-title>
<article-title xml:lang="en"><![CDATA[Application of the Two-sided difference quotient in the solution of nonlinear Ill-posed]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Olivar Robayo]]></surname>
<given-names><![CDATA[Luis Eduardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Granada Díaz]]></surname>
<given-names><![CDATA[Hector Andres]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Tolima Departamento de Matemáticas y estadística ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad del Tolima Departamento de Matemáticas y estadística ]]></institution>
<addr-line><![CDATA[ ]]></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>15</volume>
<numero>1</numero>
<fpage>150</fpage>
<lpage>154</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-74882024000100150&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-74882024000100150&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-74882024000100150&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Cuando utilizamos una discretization por diferencias finitas para solucionar ecuaciones diferenciales, encontramos problemas en la frontera del dominio de la solución; si además la solución está inmersa en un problema inverso mal puesto, podemos encontrar soluciones muy malas. En este artículo aplicamos una discretización del cociente de diferencias de dos lados para resolver un problema elíptico auto adjunto inverso mal puesto [1]. Mostraremos algunos ejemplos numéricos que muestran la efectividad de este método y usaremos técnicas de molificación para suavizar las soluciones]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract When we use a discretization by finite differences, to solve differential equations we find problems at the border of the domain of the solution. If the solution is also immersed in a ill-posed inverse problem; we can find very bad solutions. In this paper we apply a discretization of two - sided difference quotients method to solve Ill-posed inverse self-adjoint elliptic problem [1]. Some numerical examples showing the effectiveness of this method and we will use mollification techniques to smooth the solutions.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Inverse problems]]></kwd>
<kwd lng="en"><![CDATA[regularization methods]]></kwd>
<kwd lng="en"><![CDATA[elliptic equations]]></kwd>
<kwd lng="en"><![CDATA[ill-posed problems]]></kwd>
<kwd lng="en"><![CDATA[mollification methods]]></kwd>
<kwd lng="es"><![CDATA[Problemas inversos]]></kwd>
<kwd lng="es"><![CDATA[métodos de regularización]]></kwd>
<kwd lng="es"><![CDATA[ecuaciones elípticas]]></kwd>
<kwd lng="es"><![CDATA[problemas mal puestos]]></kwd>
<kwd lng="es"><![CDATA[métodos de molificación]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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</back>
</article>
