<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.7//EN" "https://dtd.nlm.nih.gov/ncbi/pubmed/in/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Guilan</PublisherName>
				<JournalTitle>Journal of Mathematical Modeling</JournalTitle>
				<Issn>2345-394X</Issn>
				<Volume>7</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2019</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Solving the general form of the Emden-Fowler equations with the Moving Least Squares method</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>231</FirstPage>
			<LastPage>250</LastPage>
			<ELocationID EIdType="pii">3412</ELocationID>
			
<ELocationID EIdType="doi">10.22124/jmm.2019.12623.1238</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Sasan</FirstName>
					<LastName>Asadpour</LastName>
<Affiliation>Department of Mathematics, University of Mazandaran, Babolsar, Iran</Affiliation>

</Author>
<Author>
					<FirstName>AllahBakhsh</FirstName>
					<LastName>Yazdani Cherati</LastName>
<Affiliation>Department of Mathematics, University of Mazandaran, Babolsar, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Hassan</FirstName>
					<LastName>Hosseinzadeh</LastName>
<Affiliation>Department of Mathematics, University of Mazandaran, Babolsar, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2019</Year>
					<Month>02</Month>
					<Day>20</Day>
				</PubDate>
			</History>
		<Abstract>In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Emden-Fowler equations with initial conditions. The Volterra integral form of the Emden-Fowler equations overcomes their singular behavior at $x=0$, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Emden-Fowler equations</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Volterra integral equation</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">moving least squares method</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jmm.guilan.ac.ir/article_3412_61805cba8ea61e4b3f2f3f1e4a50207d.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
