October 1, 2015 Thesis Open Access

TADIYOS AYELE

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  <identifier identifierType="DOI">10.20372/nadre:4936</identifier>
  <creators>
    <creator>
      <creatorName>TADIYOS AYELE</creatorName>
    </creator>
  </creators>
  <titles>
    <title>SOLUTION OF BESSEL'S DIFFERENTIAL EQUATION BY LAPLACE . UTION TRANSFORM METHOD</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-10-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Thesis</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://nadre.ethernet.edu.et/record/4936</alternateIdentifier>
  </alternateIdentifiers>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.20372/nadre:4935</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://nadre.ethernet.edu.et/communities/amu</relatedIdentifier>
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  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;Bessel&amp;rsquo;s equation is the whole family of differential equation, specially ordinary differential&lt;br&gt;
equation and frequently occur in various fields of science, applied mathematics and&lt;br&gt;
mathematical physics involving cylindrical symmetry. In this thesis, we proposed a most&lt;br&gt;
general form of linear second order ordinary differential equation of variable coefficient in&lt;br&gt;
the form of Bessel&amp;rsquo;s kind. We convert the proposed Bessel&amp;rsquo;s differential equation into an&lt;br&gt;
algebraic equation for transformed function by using Laplace transform. Solving this second&lt;br&gt;
order ordinary differential equation of variable coefficient, using reduction of order and&lt;br&gt;
power series method of solving differential equation and applying inverse Laplace transform&lt;br&gt;
general solution of the problem is obtained. Graphical solution and numerical values are&lt;br&gt;
presented to show the performance and accuracy of the proposed method. To obtain&lt;br&gt;
numerical value and graphical solution we used some softwares like mathematica and&lt;br&gt;
computer programming (c++).&lt;/p&gt;</description>
  </descriptions>
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