Thesis Open Access

Exact Solution for the Jimbo Miwa Equation By Using Spectral Method

Jawaro Haso Jemal


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{
  "DOI": "10.20372/nadre:12547", 
  "language": "eng", 
  "author": [
    {
      "family": "Jawaro Haso   Jemal"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2024, 
        2, 
        5
      ]
    ]
  }, 
  "abstract": "<p>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<br>\n&nbsp;</p>", 
  "title": "Exact Solution for the Jimbo Miwa Equation By Using Spectral Method", 
  "type": "thesis", 
  "id": "12547"
}
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