On q,ω -differential transform method


Hıra F.

JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL, vol.56, no.32, pp.1-18, 2023 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 56 Issue: 32
  • Publication Date: 2023
  • Doi Number: 10.1088/1751-8121/ace503
  • Journal Name: JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Page Numbers: pp.1-18
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Abstract In this study, the differential transform method (DTM) associated with the Hahn difference operator ( D q , ω ) has been examined. The definitions and theorems of the one and two-dimensional q , ω -DTM are introduced. Then, the presented q , ω -DTMs are applied to obtain the analytical or approximation solution of linear or non-linear q , ω -initial value problems consisting of the q , ω -ordinary or q , ω -partial differential equation.