Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method

Bildik N., Konuralp A., Bek F. O., Küçükarslan S.

Applied Mathematics and Computation, cilt.172, sa.1, ss.551-567, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 172 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.02.037
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.551-567
  • Anahtar Kelimeler: differential transform method, decomposition method, initial value problem, partial differential equation
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, the definitions and operations of the differential transform method [J.K. Zhou, Differential Transformation and Its Applications for Electrical Circuits, Huarjung University Press, Wuuhahn, China, 1986] and Adomian's decomposition method which is given by George Adomian for approximate solution of linear and non-linear differential equations are expressed [G. Adomian, Convergent series solution of nonlinear equation, Comput. Appl. Math. 11 (1984) 113-117]. Different partial differential equations are solved under the view of these methods and compared with the approximate solution and analytic solution. At the end, these solutions are illustrated by tables and figures. © 2005 Elsevier Inc. All rights reserved.