July 5, 2025 Thesis Open Access

BY LEMESSA REGASSA TOLERA

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{
  "DOI": "10.20372/nadre:14175", 
  "author": [
    {
      "family": "BY LEMESSA REGASSA TOLERA"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2025, 
        7, 
        5
      ]
    ]
  }, 
  "abstract": "<p>ADVISOR: BOKA KUMSA (PhD)</p>\n\n<p>In this thesis, we presented an analytical approximate solution to the Korteweg&ndash;de Vries<br>\n(KdV) equation, which has significant applications in various fields such as fluid dynamics,<br>\nplasma physics, and nonlinear optics. The kdv equation is solved using Adomian<br>\nDecomposition Method (ADM). The main focus of this study is to explore the analytical<br>\napproximation of the kdv equation using ADM, which provides rapidly converging series<br>\nsolutions. The accuracy of this method is demonstrated, and it is shown to be robust for a<br>\nvariety of boundary and initial conditions. The results suggest that ADM can serve as an<br>\nalternative to more complex numerical methods, particularly in cases where exact solutions<br>\nare unavailable or difficult to obtain. Furthermore, this thesis refines the ADM is efficient,<br>\nconvenient, and applicable to a wide range of problems, offering an effective approach for<br>\napproximating the solution of the kdv equation.<br>\nKeywords: Systems of nonlinear partial differential equations, Adomian decomposition<br>\nmethod, Modified decomposition method and Korteweg de Vries equation (KdV) equation</p>", 
  "title": "ANALYTICAL APPROXIMATE SOLUTION OF KORTEWEG-DE VRIES (KDV) EQUESTION BY ADOMIAN DECOMPOSITION METHOD", 
  "type": "thesis", 
  "id": "14175"
}