<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-05-30T09:15:49Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/33367" metadataPrefix="marc">https://riuma.uma.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:riuma.uma.es:10630/33367</identifier><datestamp>2026-02-03T11:22:27Z</datestamp><setSpec>com_10630_2254</setSpec><setSpec>col_10630_37953</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
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      <subfield code="a">Galán-García, José Luis</subfield>
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      <subfield code="a">Aguilera-Venegas, Gabriel</subfield>
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      <subfield code="a">Rodríguez-Cielos, Pedro</subfield>
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      <subfield code="a">Padilla-Domínguez, Yolanda Carmen</subfield>
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      <subfield code="a">Galán-García, María Ángeles</subfield>
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      <subfield code="c">2019</subfield>
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      <subfield code="a">Partial Differential Equations (PDE) appear in multiple Physic and Engineering applications. Normally, when modeling an application, the use of well-known and already solved PDE is considered. But what happens if a new PDE is used? Solving a new PDE is not an easy task. In this paper, we use a Computer Algebra System (Cas) in order to find the solution of PDE of first order.&#xd;
Specifically, we deal with Pfaff Equations, Quasilinear PDE and general first order PDE (using Lagrange–Charpit Method).&#xd;
To solve these PDE, we combine the power of a Cas with the flexibility of programming with it. Furthermore, the developed programs do not only provide the final result but also display all the intermediate steps which lead to find the solution of the PDE. This way, we introduce SFOPDES, a new Stepwise First Order PDE Solver which serves as a tutorial showing, step by step, the way to deal with PDE.</subfield>
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      <subfield code="a">José Luis Galán-García, Gabriel Aguilera-Venegas, Pedro Rodríguez-Cielos, Yolanda Padilla-Domínguez, María Ángeles Galán-García, SFOPDES: A Stepwise First Order Partial Differential Equations Solver with a Computer Algebra System, Computers &amp; Mathematics with Applications, Volume 78, Issue 9, 2019, Pages 3152-3164, ISSN 0898-1221, https://doi.org/10.1016/j.camwa.2019.05.010.</subfield>
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      <subfield code="a">10.1016/j.camwa.2019.05.010</subfield>
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      <subfield code="a">Ecuaciones en derivadas parciales</subfield>
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      <subfield code="a">Pffaf, Problema de</subfield>
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      <subfield code="a">SFOPDES: A Stepwise First Order Partial Differential Equations Solver with a Computer Algebra System</subfield>
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