<?xml version="1.0" encoding="UTF-8"?><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>2026-10-19T01:08:24Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15771" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/15771</identifier><datestamp>2026-10-18T20:41:16Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>The numerical method for solving differential equations of Lane-Emden type by Padé approximation</dc:title><dc:creator>Çelik, Ercan</dc:creator><dc:creator>Yiǧider, Muhammed</dc:creator><dc:creator>Tabatabaei, Khatereh</dc:creator><dc:subject>VARIATIONAL ITERATION METHOD</dc:subject><dc:subject>HOMOTOPY PERTURBATION METHOD</dc:subject><dc:subject>SINGULAR IVPS</dc:subject><dc:subject>SERIES</dc:subject><dc:subject>Mathematics, Interdisciplinary Applications</dc:subject><dc:subject>Multidisciplinary Sciences</dc:subject><dc:subject>Mathematics</dc:subject><dc:subject>Science &amp; Technology - Other Topics</dc:subject><dc:description>Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential transformation, then the numerical solution of equation was put into Padé series form. Thus, we have obtained numerical solution differential equation of Lane-Emden type. Copyright © 2011 Muhammed Yiǧider et al.</dc:description><dc:publisher>HINDAWI LTD</dc:publisher><dc:date>2011</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/15771</dc:identifier><dc:identifier>https://doi.org/10.1155/2011/479396</dc:identifier><dc:identifier>1607-887X</dc:identifier><dc:language>en</dc:language><dc:relation>Discrete Dynamics in Nature and Society</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15771</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>