Reduced Hahn Differential Transform Method

Chirko M. A., Hıra F.

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, cilt.65, sa.9, ss.2127-2139, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 9
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1134/s096554252570109x
  • Dergi Adı: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.2127-2139
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

We introduce the reduced Hahn differential transform method (RHDTM). This method can be symbolized as a reduced q,omega-differential transform method (Rq,omega DTM). We construct the q,omega-analogs of some problems, each including a non-linear partial differential equation, Burgers' equation, and a partial-integro-differential equation, and then solve them by applying the RHDTM. Additionally, we explain the advantages of the presented method in these problems.