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Numerical algorithm for solving second order nonlinear fuzzy initial value problems

International Journal of Electrical and Computer Engineering (IJECE) · Vol. 10 No. 6 (2020)

DOI
10.11591/ijece.v10i6.pp6497-6506
ISSN
2722-2578, 2088-8708
Published
2020-12-01
Publisher
Institute of Advanced Engineering and Science
License
creativecommons.org/licenses/by-sa/4.0

Abstract

The purpose of this analysis would be to provide a computational technique for the numerical solution of second-order nonlinear fuzzy initial value (FIVPs). The idea is based on the reformulation of the fifth order Runge Kutta with six stages (RK56) from crisp domain to the fuzzy domain by using the definitions and properties of fuzzy set theory to be suitable to solve second order nonlinear FIVP numerically. It is shown that the second order nonlinear FIVP can be solved by RK56 by reducing the original nonlinear equation intoa system of couple first order nonlinear FIVP. The findings indicate that the technique is very efficient and simple to implement and satisfy the Fuzzy solution properties. The method’s potential is demonstrated by solving nonlinear second-order FIVP.

Collaboration network of the authors

21 authors · 57 co-authorship links · 40 across different organisations

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  • Universiti Utara Malaysia
  • Irbid National University
  • Hashemite University
  • Yarmouk University
  • Universiti Sains Malaysia
  • University of Tikrit
  • Sulaimani Polytechnic University
  • Other organisations
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Noraziah Haji ManUniversiti Utara Malaysia5
Sardar G AmenUniversiti Utara Malaysia2
Hafed H SalehUniversiti Sains Malaysia2
Amirah AzmiUniversiti Sains Malaysia2
Abedel-Karrem AlomariAffiliation unknown2
Nedal Mohammad TahatHashemite University1
Ramzi B. AlbadarnehHashemite University1
Iqbal M. BatihaIrbid National University1
Ahmad AdwaiHashemite University1
Frede Nidal AnakiraIrbid National University1
Mohmmad S. HijaziJouf University1
Abdel Kareem AlomariYarmouk University1
Muhammad A. ShihabUniversity of Tikrit1
Wafaa M. TahaUniversity of Kirkuk1
Raad A. HameedUniversity of Tikrit1
Ibrahim Mohammed SulaimanUniversiti Utara Malaysia1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2088-8708/works, first harvested 27 Okt 2026, last seen 27 Okt 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>Numerical algorithm for solving second order nonlinear fuzzy initial value problems</dc:title><dc:creator>Jameel, A. F.</dc:creator><dc:creator>Anakira, N. R.</dc:creator><dc:creator>Shather, A. H.</dc:creator><dc:creator>Saaban, Azizan</dc:creator><dc:creator>Alomari, A. K.</dc:creator><dc:description>&lt;jats:p&gt;The purpose of this analysis would be to provide a computational technique for the numerical solution of second-order nonlinear fuzzy initial value (FIVPs). The idea is based on the reformulation of the fifth order Runge Kutta with six stages (RK56) from crisp domain to the fuzzy domain by using the definitions and properties of fuzzy set theory to be suitable to solve second order nonlinear FIVP numerically. It is shown that the second order nonlinear FIVP can be solved by RK56 by reducing the original nonlinear equation intoa system of couple first order nonlinear FIVP. The findings indicate that the technique is very efficient and simple to implement and satisfy the Fuzzy solution properties. The method’s potential is demonstrated by solving nonlinear second-order FIVP.&lt;/jats:p&gt;</dc:description><dc:publisher>Institute of Advanced Engineering and Science</dc:publisher><dc:date>2020-12-01</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.11591/ijece.v10i6.pp6497-6506</dc:identifier><dc:identifier>10.11591/ijece.v10i6.pp6497-6506</dc:identifier><dc:source>International Journal of Electrical and Computer Engineering (IJECE); Vol 10 No 6 (2020); 6497</dc:source><dc:source>2722-2578</dc:source><dc:source>2088-8708</dc:source><dc:relation>http://ijece.iaescore.com/index.php/IJECE/article/viewFile/20888/14437</dc:relation><dc:rights>http://creativecommons.org/licenses/by-sa/4.0</dc:rights></oai_dc:dc>