1 Ocak 2013 Dergi makalesi Açık Erişim

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

MARC21 XML

<?xml version='1.0' encoding='UTF-8'?>
<record xmlns="http://www.loc.gov/MARC21/slim">
  <leader>00000nam##2200000uu#4500</leader>
  <datafield tag="245" ind1=" " ind2=" ">
    <subfield code="a">Analysis of the new homotopy perturbation method for linear and nonlinear problems</subfield>
  </datafield>
  <datafield tag="909" ind1="C" ind2="4">
    <subfield code="p">BOUNDARY VALUE PROBLEMS</subfield>
  </datafield>
  <controlfield tag="001">12375</controlfield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="a">user-tubitak-destekli-proje-yayinlari</subfield>
  </datafield>
  <datafield tag="520" ind1=" " ind2=" ">
    <subfield code="a">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.</subfield>
  </datafield>
  <datafield tag="650" ind1="1" ind2="7">
    <subfield code="2">opendefinition.org</subfield>
    <subfield code="a">cc-by</subfield>
  </datafield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="u">Kocaeli Univ Umuttepe, Dept Math, TR-41380 Izmit, Kocaeli, Turkey</subfield>
    <subfield code="a">Erman, Sertac</subfield>
  </datafield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="u">Kocaeli Univ Umuttepe, Dept Math, TR-41380 Izmit, Kocaeli, Turkey</subfield>
    <subfield code="a">Ozgur, Berrak</subfield>
  </datafield>
  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="u">Ardahan Univ, TR-75000 Merkez, Ardahan, Turkey</subfield>
    <subfield code="a">Korkmaz, Esra</subfield>
  </datafield>
  <datafield tag="980" ind1=" " ind2=" ">
    <subfield code="b">article</subfield>
    <subfield code="a">publication</subfield>
  </datafield>
  <datafield tag="542" ind1=" " ind2=" ">
    <subfield code="l">open</subfield>
  </datafield>
  <datafield tag="100" ind1=" " ind2=" ">
    <subfield code="u">Kocaeli Univ Umuttepe, Dept Math, TR-41380 Izmit, Kocaeli, Turkey</subfield>
    <subfield code="a">Demir, Ali</subfield>
  </datafield>
  <datafield tag="260" ind1=" " ind2=" ">
    <subfield code="c">2013-01-01</subfield>
  </datafield>
  <controlfield tag="005">20210315075238.0</controlfield>
  <datafield tag="909" ind1="C" ind2="O">
    <subfield code="o">oai:zenodo.org:12375</subfield>
    <subfield code="p">user-tubitak-destekli-proje-yayinlari</subfield>
  </datafield>
  <datafield tag="856" ind1="4" ind2=" ">
    <subfield code="z">md5:5a866071c4358cef56ccd2a937a76ba5</subfield>
    <subfield code="s">162</subfield>
    <subfield code="u">https://aperta.ulakbim.gov.trrecord/12375/files/bib-e5d411df-f814-44f1-8086-702b8b8b6cfe.txt</subfield>
  </datafield>
  <datafield tag="540" ind1=" " ind2=" ">
    <subfield code="u">http://www.opendefinition.org/licenses/cc-by</subfield>
    <subfield code="a">Creative Commons Attribution</subfield>
  </datafield>
  <datafield tag="024" ind1=" " ind2=" ">
    <subfield code="a">10.1186/1687-2770-2013-61</subfield>
    <subfield code="2">doi</subfield>
  </datafield>
</record>