<?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-2590</article-id>
      <title-group>
        <article-title>The ZMA projected differential transform method for solving linear and non-linear partial differential equations</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Alwan</surname>
            <given-names>Zainab Mohammed</given-names>
          </name>
          <aff>Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>5-A</issue>
      <fpage>1335</fpage>
      <lpage>1342</lpage>
      <pub-date date-type="pub">
        <day>27</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>In this project, present a novel technique to solve linear and non-linear (L and NL) of partial differential equations (PDEs) with simple steps to present active and accurate results take less time compare with other researcher techniques to find the exact solutions (ES). These techniques performed by mixture of ZMA-transform (ZMAT) and projected differential transformed method (PDTM) demonstrated as ZMA projected differential transformed method (ZMAPDTM). Also, to more understand this technique inserted some properties assisted of greeted algorithm with steps to solve various problems. </p>
      </abstract>
      <kwd-group>
        <kwd>Projected differential transformed method</kwd>
        <kwd>ZMA-transform</kwd>
        <kwd>ZMA projected differential transformed method</kwd>
        <kwd>Integral transform</kwd>
        <kwd>Differential transform method</kwd>
        <kwd>PDEs</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>
