<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>4</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>12</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Newton-Product integration for a Two-phase Stefan problem with Kinetics</ArticleTitle><FirstPage>853</FirstPage>
			<LastPage>868</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>B. </FirstName>
					<LastName>‎Babayar-Razlighi</LastName>
					<Affiliation>University of Tabriz</Affiliation>
				</Author>
<Author>
					<FirstName>Karim </FirstName>
					<LastName>Ivaz</LastName>
					<Affiliation>University of Tabriz</Affiliation>
				</Author>
<Author>
					<FirstName>M. R.</FirstName>
					<LastName>Mokhtarzadeh</LastName>
					<Affiliation>Institute for
studies in
theoretical physics and mathematics</Affiliation>
				</Author>
<Author>
					<FirstName>A. N.</FirstName>
					<LastName>Badamchizadeh</LastName>
					<Affiliation>University of Tabriz</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>04</Month>
					<Day>30</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[We reduce the two phase Stefan problem with kinetic to a system of nonlinear  Volterra integral equations of second kind and apply Newton's method to linearize it. We found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with an example.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Two-phase Stefan problem</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Kinetic function</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Newton's
method</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Product integration</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Nonlinear Volterra integral equations</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>