<i>q</i>-Modified Differential Transform Method


Hira F.

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, vol.64, no.6, pp.1176-1185, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 6
  • Publication Date: 2024
  • Doi Number: 10.1134/s0965542524700428
  • Journal Name: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, INSPEC, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1176-1185
  • Ondokuz Mayıs University Affiliated: No

Abstract

The modified or hybrid method is created by combining the differential transform method(DTM), Pad & eacute; approximant, and Laplace transform. This method has been used frequently in manyfields, especially in solving problems created by nonlinear equations. In this study, we examined the-analog of this method. We define the method as the -modified differential transformation method( -MDTM). By creating -analogs of some problems solved by Laplace transform and DTM in theliterature, we are solving them with -MDTM. In this sense, the study is an example of creating non-linear -differential equations and solving them by applying the -modified method.