1 Ocak 2013 Dergi makalesi Açık Erişim

Demir, Ali; Erman, Sertac; Ozgur, Berrak; Korkmaz, Esra

Dublin Core

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  <dc:creator>Demir, Ali</dc:creator>
  <dc:creator>Erman, Sertac</dc:creator>
  <dc:creator>Ozgur, Berrak</dc:creator>
  <dc:creator>Korkmaz, Esra</dc:creator>
  <dc:date>2013-01-01</dc:date>
  <dc:description>In this article, a new homotopy technique is presented for the mathematical analysis of finding the solution of a first-order inhomogeneous partial differential equation (PDE) u(x)(x, y) + a(x, y)u(y)(x, y) + b(x, y)g(u) = f(x, y). The homotopy perturbation method (HPM) and the decomposition of a source function are used together to develop this new technique. The homotopy constructed in this technique is based on the decomposition of a source function. Various decompositions of source functions lead to various homotopies. Using the fact that the decomposition of a source function affects the convergence of a solution leads us to development of a new method for the decomposition of a source function to accelerate the convergence of a solution. The purpose of this study is to show that constructing the proper homotopy by decomposing f (x, y) in a correct way determines the solution with less computational work than using the existing approach while supplying quantitatively reliable results. Moreover, this method can be generalized to all inhomogeneous PDE problems.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/12375</dc:identifier>
  <dc:identifier>oai:zenodo.org:12375</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>BOUNDARY VALUE PROBLEMS</dc:source>
  <dc:title>Analysis of the new homotopy perturbation method for linear and nonlinear problems</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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