Thesis Open Access
Exact Solution for the Jimbo Miwa Equation By Using Spectral Method
Jawaro Haso Jemal
Thesis supervisor(s)
Teferi Tesfaye (Ph.D)
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
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- Publication date:
- February 5, 2024
- DOI:
-
- Keyword(s):
- Jimbo-Miwa equation , Exact solution ,Spectral method ,Fourier Basis Functions.
- Awarding University:
- MADDA WALABU UNIVERSITY
- Communities:
- License (for files):
- Creative Commons Attribution