February 5, 2024 Thesis Open Access

Jawaro Haso Jemal

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    <subfield code="a">Jimbo-Miwa equation , Exact solution ,Spectral method ,Fourier Basis Functions.</subfield>
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    <subfield code="a">Teferi  Tesfaye  (Ph.D)</subfield>
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    <subfield code="u">MADDA WALABU UNIVERSITY</subfield>
    <subfield code="a">Jawaro Haso   Jemal</subfield>
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    <subfield code="a">Exact Solution for the Jimbo Miwa Equation By Using Spectral Method</subfield>
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    <subfield code="a">&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;
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