October 1, 2015 Thesis Open Access

TADIYOS AYELE

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{
  "description": "<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>", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "creator": [
    {
      "@type": "Person", 
      "name": "TADIYOS AYELE"
    }
  ], 
  "headline": "SOLUTION OF BESSEL'S DIFFERENTIAL EQUATION BY LAPLACE . UTION TRANSFORM METHOD", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2015-10-01", 
  "url": "https://nadre.ethernet.edu.et/record/4936", 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.20372/nadre:4936", 
  "@id": "https://doi.org/10.20372/nadre:4936", 
  "@type": "ScholarlyArticle", 
  "name": "SOLUTION OF BESSEL'S DIFFERENTIAL EQUATION BY LAPLACE . UTION TRANSFORM METHOD"
}