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Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers' equation

Ay, Buket; Dag, Idris; Gorgulu, Melis Zorsahin


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/82219</identifier>
  <creators>
    <creator>
      <creatorName>Ay, Buket</creatorName>
      <givenName>Buket</givenName>
      <familyName>Ay</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Math Comp Dept, Eskisehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Dag, Idris</creatorName>
      <givenName>Idris</givenName>
      <familyName>Dag</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Math Comp Dept, Eskisehir, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Gorgulu, Melis Zorsahin</creatorName>
      <givenName>Melis Zorsahin</givenName>
      <familyName>Gorgulu</familyName>
      <affiliation>Eskisehir Osmangazi Univ, Math Comp Dept, Eskisehir, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Trigonometric Quadratic B-Spline Subdomain Galerkin Algorithm For The Burgers' Equation</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2015</publicationYear>
  <dates>
    <date dateType="Issued">2015-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/82219</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1515/phys-2015-0059</relatedIdentifier>
  </relatedIdentifiers>
  <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">A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers' equation. Approximate function consists of the combination of the trigonometric B-splines. Integration of Burgers' equation has been achived by aid of the subdomain Galerkin method based on the trigonometric B-splines as an approximate functions. The resulting first order ordinary differential system has been converted into an iterative algebraic equation by use of the Crank-Nicolson method at successive two time levels. The suggested algorithm is tested on some well-known problems for the Burgers' equation.</description>
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