February 5, 2024 Thesis Open Access

Jawaro Haso Jemal

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  <identifier identifierType="DOI">10.20372/nadre:12547</identifier>
  <creators>
    <creator>
      <creatorName>Jawaro Haso   Jemal</creatorName>
      <affiliation>MADDA WALABU UNIVERSITY</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Exact Solution for the Jimbo Miwa Equation By Using Spectral Method</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2024</publicationYear>
  <subjects>
    <subject>Jimbo-Miwa equation , Exact solution ,Spectral method ,Fourier Basis Functions.</subject>
  </subjects>
  <contributors>
    <contributor contributorType="Supervisor">
      <contributorName>Teferi  Tesfaye  (Ph.D)</contributorName>
      <affiliation>MADDA WALABU UNIVERSITY</affiliation>
    </contributor>
  </contributors>
  <dates>
    <date dateType="Issued">2024-02-05</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Text">Thesis</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://nadre.ethernet.edu.et/record/12547</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.20372/nadre:12546</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://nadre.ethernet.edu.et/communities/mwu123-un</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;In this thesis, we have presented the exact solution for the Jimbo-Miwa equation using spectral method with Fourier as basis functions. A basis function is a mathematical concept that allows us to represent any function in a given space as a linear combination of simpler functions. The Spectral method is powerful numerical technique that rely on expanding the solution in terms of a set of basis functions and determining the coefficients of the solution function of the solution for Jimbo-Miwa equation. By applying this method with Fourier as basis functions, we have able to derive the exact solution for the Jimbo-Miwa equation. The Fourier basis functions provide a convenient framework for representing the solution and prove to be a valuable approach in solving the Jimbo-Miwa equation efficiently and accurately. This demonstrate the effectiveness of spectral method in obtaining the exact solution for the Jimbo-Miwa equation. 5&lt;br&gt;
&amp;nbsp;&lt;/p&gt;</description>
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