<?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 Tabriz</PublisherName>
				<JournalTitle>Computational Methods for Differential Equations</JournalTitle>
				<Issn>2345-3982</Issn>
				<Volume>11</Volume>
				<Issue>3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2023</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>643</FirstPage>
			<LastPage>663</LastPage>
			<ELocationID EIdType="pii">15786</ELocationID>
			
<ELocationID EIdType="doi">10.22034/cmde.2022.52725.2218</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Amjad</FirstName>
					<LastName>AliPanah</LastName>
<Affiliation>Department of Applied Mathematics, Faculty of Science, University of Kurdistan, Sanandaj, Kurdistan, Iran.</Affiliation>

</Author>
<Author>
					<FirstName>Kaivan</FirstName>
					<LastName>Mohammadi</LastName>
<Affiliation>Department of Applied Mathematics, Faculty of Science, University of Kurdistan, Sanandaj, Kurdistan, Iran.</Affiliation>

</Author>
<Author>
					<FirstName>Mohammad</FirstName>
					<LastName>Ghasemi</LastName>
<Affiliation>Department of Applied Mathematics, Faculty of Science, University of Kurdistan, Sanandaj, Kurdistan, Iran.</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2022</Year>
					<Month>07</Month>
					<Day>25</Day>
				</PubDate>
			</History>
		<Abstract>In this work, a non-classical sinc-collocation method is used to  find numerical solution of third-order boundary value problems. The novelty of this approach is based on using the weight functions in the traditional sinc- expansion. The properties of sinc-collocation are used to reduce the boundary value problems to a nonlinear system of algebraic equations which can be solved numerically. In addition, the convergence of the proposed method is discussed by preparing the theorems which show exponential convergence and guarantee its applicability. Several examples are solved and the numerical results show the efficiency and applicability of the method.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Non-classical</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Sinc Collocation method</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Third-order</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Boundary value problem</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Convergence</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://cmde.tabrizu.ac.ir/article_15786_ca39b417f90867f63251839d69e92fc0.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
