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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Semnan University</PublisherName>
				<JournalTitle>International Journal of Nonlinear Analysis and Applications</JournalTitle>
				<Issn>2008-6822</Issn>
				<Volume>8</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2017</Year>
					<Month>12</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Computational method based on triangular operational matrices for solving nonlinear stochastic differential equations</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>169</FirstPage>
			<LastPage>179</LastPage>
			<ELocationID EIdType="pii">2783</ELocationID>
			
<ELocationID EIdType="doi">10.22075/ijnaa.2017.1023.1198</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Mahnaz</FirstName>
					<LastName>Asgari</LastName>
<Affiliation>Department of Engineering,~Abhar Branch,~Islamic Azad University, Abhar, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Morteza</FirstName>
					<LastName>Khodabin</LastName>
<Affiliation>Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2015</Year>
					<Month>11</Month>
					<Day>22</Day>
				</PubDate>
			</History>
		<Abstract>In this article, a new numerical method based on triangular functions for solving  nonlinear stochastic differential equations is presented. For this, the stochastic operational matrix of triangular functions for It\^{o} integral are determined. Computation of presented method is very simple and attractive. In addition, convergence analysis and numerical examples that illustrate accuracy and efficiency of the method are presented.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Brownian motion</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">It^{o} integral</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Nonlinear stochastic differential equation</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Stochastic operational matrix</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Triangular function</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijnaa.semnan.ac.ir/article_2783_c6fbfe31fd6236b020f1a1ec4c88ae52.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
