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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 14,issue 5,</Volume-Issue>
      <PartNumber/>
      <IssueTopic>Multidisciplinary</IssueTopic>
      <IssueLanguage>English</IssueLanguage>
      <Season>May 2025</Season>
      <SpecialIssue>N</SpecialIssue>
      <SupplementaryIssue>N</SupplementaryIssue>
      <IssueOA>Y</IssueOA>
      <PubDate>
        <Year>2025</Year>
        <Month>04</Month>
        <Day>30</Day>
      </PubDate>
      <ArticleType>Engineering, Science and Mathematics</ArticleType>
      <ArticleTitle>NUMERICAL STUDY OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM</ArticleTitle>
      <SubTitle/>
      <ArticleLanguage>English</ArticleLanguage>
      <ArticleOA>Y</ArticleOA>
      <FirstPage>1</FirstPage>
      <LastPage>18</LastPage>
      <AuthorList>
        <Author>
          <FirstName>Preeti</FirstName>
          <LastName>Yadav</LastName>
          <AuthorLanguage>English</AuthorLanguage>
          <Affiliation/>
          <CorrespondingAuthor>N</CorrespondingAuthor>
          <ORCID/>
        </Author>
      </AuthorList>
      <DOI/>
      <Abstract>Singularly Perturbed Differential Equations (SPDEs) arise in various scientific and engineering applications, including fluid dynamics, quantum mechanics, and reaction diffusion processes. These equations involve a small perturbation parameter leading to boundary layers, challenging numerical solutions. Classical numerical methods often fail to provide accurate results for such problems, necessitating specialized approaches. This paper investigates the mathematical solution of singularly perturbed boundary value problems (SPBVPs) using Laplace Transform Methods (LTM), including Euler’s Method (EM) and Weeks Method (WM). The study formulates the problem, discusses the application of Laplace transformation, and explores numerical inversion techniques for obtaining solutions in the time domain. Numerical experiments are conducted to validate the proposed methods, demonstrating their effectiveness and accuracy.</Abstract>
      <AbstractLanguage>English</AbstractLanguage>
      <Keywords>SPBVPs, Laplace Transform Methods, EM, Weeks Method</Keywords>
      <URLs>
        <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=15691&amp;title=NUMERICAL STUDY OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM</Abstract>
      </URLs>
      <References>
        <ReferencesarticleTitle>References</ReferencesarticleTitle>
        <ReferencesfirstPage>16</ReferencesfirstPage>
        <ReferenceslastPage>19</ReferenceslastPage>
        <References/>
      </References>
    </Journal>
  </Article>
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