October 1, 2015 Thesis Open Access

TADIYOS AYELE

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{
  "DOI": "10.20372/nadre:4936", 
  "author": [
    {
      "family": "TADIYOS AYELE"
    }
  ], 
  "issued": {
    "date-parts": [
      [
        2015, 
        10, 
        1
      ]
    ]
  }, 
  "abstract": "<p>Bessel&rsquo;s equation is the whole family of differential equation, specially ordinary differential<br>\nequation and frequently occur in various fields of science, applied mathematics and<br>\nmathematical physics involving cylindrical symmetry. In this thesis, we proposed a most<br>\ngeneral form of linear second order ordinary differential equation of variable coefficient in<br>\nthe form of Bessel&rsquo;s kind. We convert the proposed Bessel&rsquo;s differential equation into an<br>\nalgebraic equation for transformed function by using Laplace transform. Solving this second<br>\norder ordinary differential equation of variable coefficient, using reduction of order and<br>\npower series method of solving differential equation and applying inverse Laplace transform<br>\ngeneral solution of the problem is obtained. Graphical solution and numerical values are<br>\npresented to show the performance and accuracy of the proposed method. To obtain<br>\nnumerical value and graphical solution we used some softwares like mathematica and<br>\ncomputer programming (c++).</p>", 
  "title": "SOLUTION OF BESSEL'S DIFFERENTIAL EQUATION BY LAPLACE . UTION TRANSFORM METHOD", 
  "type": "thesis", 
  "id": "4936"
}