February 5, 2024 Thesis Open Access

Jawaro Haso Jemal

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  <dc:creator>Jawaro Haso   Jemal</dc:creator>
  <dc:date>2024-02-05</dc:date>
  <dc:description>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
 </dc:description>
  <dc:identifier>https://zenodo.org/record/12547</dc:identifier>
  <dc:identifier>10.20372/nadre:12547</dc:identifier>
  <dc:identifier>oai:zenodo.org:12547</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>doi:10.20372/nadre:12546</dc:relation>
  <dc:relation>url:https://nadre.ethernet.edu.et/communities/mwu123-un</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:subject>Jimbo-Miwa equation , Exact solution ,Spectral method ,Fourier Basis Functions.</dc:subject>
  <dc:title>Exact Solution for the Jimbo Miwa Equation By Using Spectral Method</dc:title>
  <dc:type>info:eu-repo/semantics/doctoralThesis</dc:type>
  <dc:type>publication-thesis</dc:type>
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