<?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-1952</article-id>
      <title-group>
        <article-title>An exploration of the nth order fuzzy differential equations through numerical analysis, employing He’s variational iteration method</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Shobanapriya</surname>
            <given-names>M.</given-names>
          </name>
          <aff>Department of Mathematics, Municipal Girls Higher Secondary School, Gobichettipalayam, Tamil Nadu, 638476, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ramachandran</surname>
            <given-names>M.</given-names>
          </name>
          <aff>Department of Mathematics, Government Arts and Science College, Sathyamangalam, Tamil Nadu, 638401, India</aff>
        </contrib>
      </contrib-group>
      <volume>27</volume>
      <issue>5</issue>
      <fpage>1193</fpage>
      <lpage>1198</lpage>
      <pub-date date-type="pub">
        <day>30</day>
        <month>08</month>
        <year>2024</year>
      </pub-date>
      <abstract>
        <p>Using a broader concept of higher-order fuzzy differentiability, the HVI Method (HVIM) was developed to solve nth order FDE(FDE) (Sekar and Sakthivel, [13]; Sekar and Prabhavathi, [14]). A different approach detailed in the works of Sekar and Prabhavathi [14] and Sekar and Sakthivel [13] was contrasted with the discrete solutions that were derived. Reduced computational cost means less time spent using the new method. It is presumed that the fuzzy function and its derivative possess Hukuhara differentiability. The effectiveness of this method was illustrated by the numerical example.</p>
      </abstract>
      <kwd-group>
        <kwd>Fuzzy differential equations</kwd>
        <kwd>Fuzzy IVPs</kwd>
        <kwd>Higher order fuzzy differential equations</kwd>
        <kwd>Leapfrog method</kwd>
        <kwd>HVI Method</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>
