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  <Article>
    <Journal>
      <PublisherName>ijesm</PublisherName>
      <JournalTitle>International Journal of Engineering, Science and</JournalTitle>
      <PISSN>I</PISSN>
      <EISSN>S</EISSN>
      <Volume-Issue>Volume 6, Issue 3</Volume-Issue>
      <PartNumber/>
      <IssueTopic>Multidisciplinary</IssueTopic>
      <IssueLanguage>English</IssueLanguage>
      <Season>July 2017</Season>
      <SpecialIssue>N</SpecialIssue>
      <SupplementaryIssue>N</SupplementaryIssue>
      <IssueOA>Y</IssueOA>
      <PubDate>
        <Year>2017</Year>
        <Month>07</Month>
        <Day>1</Day>
      </PubDate>
      <ArticleType>Engineering, Science and Mathematics</ArticleType>
      <ArticleTitle>SIMULTANEOUS INCREASE IN STEP - NUMBER AND DERIVATIVE ORDER AND ITS EFFECT ON ACCURACY OF MULTIDERIVATIVE MULTISTEP METHOD.</ArticleTitle>
      <SubTitle/>
      <ArticleLanguage>English</ArticleLanguage>
      <ArticleOA>Y</ArticleOA>
      <FirstPage>55</FirstPage>
      <LastPage>66</LastPage>
      <AuthorList>
        <Author>
          <FirstName>Famurewa O. K.</FirstName>
          <LastName>E</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>N</CorrespondingAuthor>
          <ORCID/>
        </Author>
      </AuthorList>
      <DOI/>
      <Abstract>This paper discusses the effect of simultaneously increase in step - number (k) and order of derivative (l) on the accuracy of an implicit multiderivative method. The study varied k and l simultaneously from 1- 4 to produce some variants of the method. These variants were implemented by using them to solve two initial value problems of first order ordinary differential equations. A comparative study of the computed results was carried out which showed an improvement in accuracy as__ampersandsignnbsp; k and l increased from k=1; l =1 to k=2; l =2 but accuracy reduced from k=3; l =3 to k=4; l =4, suggesting that two step second derivative scheme (k=2; l=2) has optimal accuracy when k and l were increased simultaneously.</Abstract>
      <AbstractLanguage>English</AbstractLanguage>
      <Keywords>Step - number; Implicit; First Derivative; Accuracy; Ordinary Differential equation.</Keywords>
      <URLs>
        <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=3136&amp;title=SIMULTANEOUS INCREASE IN STEP - NUMBER AND DERIVATIVE ORDER AND ITS EFFECT ON ACCURACY OF MULTIDERIVATIVE MULTISTEP METHOD.</Abstract>
      </URLs>
      <References>
        <ReferencesarticleTitle>References</ReferencesarticleTitle>
        <ReferencesfirstPage>16</ReferencesfirstPage>
        <ReferenceslastPage>19</ReferenceslastPage>
        <References/>
      </References>
    </Journal>
  </Article>
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