Comparison differential transfo method with adomian decomposition method for nonlinear initial value problem

YÜLÜKLÜ E.

Proceedings of the Jangjeon Mathematical Society, cilt.20, sa.1, ss.95-104, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.23001/pjms2017.20.1.95
  • Dergi Adı: Proceedings of the Jangjeon Mathematical Society
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.95-104
  • Anahtar Kelimeler: Adomian decomposition, Differential transform method, N) equation, Nonlinear dispersive k(m
  • Uşak Üniversitesi Adresli: Hayır

Özet

This paper present a numerical comparison between the differential transformation method (DTM) and Adomian decomposition method (ADM) for solving nonlinear dispersive K(m.n) equation. In order to show the effectiveness of the DTM, the results obtained from the DTM is compared with available solutions obtained using the ADM and with exact solutions. It illustrates the validity and the great potential of the differential transform method in solving nonlinear partial differential equations.