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<ArticleSet>
  <Article>
    <Journal>
      <PublisherName>ijesm</PublisherName>
      <JournalTitle>International Journal of Engineering, Science and</JournalTitle>
      <PISSN>I</PISSN>
      <EISSN>S</EISSN>
      <Volume-Issue>Volume 6, Issue 7</Volume-Issue>
      <PartNumber/>
      <IssueTopic>Multidisciplinary</IssueTopic>
      <IssueLanguage>English</IssueLanguage>
      <Season>November 2017</Season>
      <SpecialIssue>N</SpecialIssue>
      <SupplementaryIssue>N</SupplementaryIssue>
      <IssueOA>Y</IssueOA>
      <PubDate>
        <Year>2017</Year>
        <Month>11</Month>
        <Day>28</Day>
      </PubDate>
      <ArticleType>Engineering, Science and Mathematics</ArticleType>
      <ArticleTitle>SINGLY DIAGONALLY IMPLICIT RUNGE-KUTTA FOURTH AND FIFTH ORDER METHODS FOR SOLVING DELAY DIFFERENTIAL EQUATIONS</ArticleTitle>
      <SubTitle/>
      <ArticleLanguage>English</ArticleLanguage>
      <ArticleOA>Y</ArticleOA>
      <FirstPage>182</FirstPage>
      <LastPage>197</LastPage>
      <AuthorList>
        <Author>
          <FirstName>K.Ponnammal*</FirstName>
          <LastName>R.Sayeelakshmi</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>N</CorrespondingAuthor>
          <ORCID/>
        </Author>
      </AuthorList>
      <DOI/>
      <Abstract>This paper presents Singly Diagonally Implicit Runge-Kutta method based on cubic-spline Interpolation for the numerical solution of delay differential equation.The advantage of implicit Runge-Kutta methods is in their superior stability compared with the explicit methods, more so when applied to food limited equations.Our objective is to develop a scheme for solving Delay Differential equation usingsingly diagonally implicit Runge-Kutta method of 4th order and 5th order with the food limited population model equation and discussed about stability region. Errors of numerical results are compared with exact solution. This study is implemented with matlab programming.</Abstract>
      <AbstractLanguage>English</AbstractLanguage>
      <Keywords>Diagonally Implicit; Runge-kutta; cubic spline; Delay Differential Equations</Keywords>
      <URLs>
        <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=4029&amp;title=SINGLY DIAGONALLY IMPLICIT RUNGE-KUTTA FOURTH AND FIFTH&#13;
&#13;
ORDER METHODS FOR SOLVING DELAY DIFFERENTIAL EQUATIONS</Abstract>
      </URLs>
      <References>
        <ReferencesarticleTitle>References</ReferencesarticleTitle>
        <ReferencesfirstPage>16</ReferencesfirstPage>
        <ReferenceslastPage>19</ReferenceslastPage>
        <References/>
      </References>
    </Journal>
  </Article>
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