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Exact Solution for the Jimbo Miwa Equation By Using Spectral Method

Jawaro Haso Jemal


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    "description": "<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>", 
    "language": "eng", 
    "title": "Exact Solution for the Jimbo Miwa Equation By Using Spectral Method", 
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      "university": "MADDA WALABU UNIVERSITY", 
      "supervisors": [
        {
          "affiliation": "MADDA WALABU UNIVERSITY", 
          "name": "Teferi  Tesfaye  (Ph.D)"
        }
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    "keywords": [
      "Jimbo-Miwa equation , Exact solution ,Spectral method ,Fourier Basis Functions."
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    "publication_date": "2024-02-05", 
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        "affiliation": "MADDA WALABU UNIVERSITY", 
        "name": "Jawaro Haso   Jemal"
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