Solution of difference equations by using differential transform method


Arikoglu A., Ozkol I.

APPLIED MATHEMATICS AND COMPUTATION, cilt.174, sa.2, ss.1216-1228, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.06.013
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1216-1228
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

This work presents semi numerical-analytical solutions to both linear and nonlinear difference equations with variable coefficients by applying Differential Transform Method (DTM) and extending it with the related theorems and their proofs. To make clear and illustrate the features and capabilities of the presented method, examples are carried out and numerical results with comparison to exact solutions and other methods are given. (c) 2005 Elsevier Inc. All rights reserved.