<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-1744</article-id>
      <title-group>
        <article-title>Perturbation-iteration method applied to partial differential equations</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Pakdemirli</surname>
            <given-names>Mehmet</given-names>
          </name>
          <aff>Department of Mechanical Engineering, Manisa Celal Bayar University, Yunusemre, Manisa, 45140, Turkey</aff>
        </contrib>
      </contrib-group>
      <volume>28</volume>
      <issue>2</issue>
      <fpage>425</fpage>
      <lpage>439</lpage>
      <pub-date date-type="pub">
        <day>15</day>
        <month>03</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>Partial differential equations are treated with the Perturbation Iteration Method (PIM) Sample equations possessing exact analytical solutions were treated for comparison with the iteration solutions. Two different iteration algorithms are applied to the differential equations. Linear as well as nonlinear problems are treated. Exact solutions are contrasted with the approximate solutions for each sample problem. It is shown that the Perturbation Iteration Method can be successfully applied to partial differential equations in construction of admissible approximate analytical solutions.</p>
      </abstract>
      <kwd-group>
        <kwd>Perturbation techniques</kwd>
        <kwd>Iteration algorithms</kwd>
        <kwd>Partial differential equations</kwd>
        <kwd>Approximate solutions</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
