On the two-dimensional differential transform method

Ayaz F.

APPLIED MATHEMATICS AND COMPUTATION, cilt.143, ss.361-374, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 143
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(02)00368-5
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.361-374
  • Anahtar Kelimeler: two-dimensional differential transform, partial differential equations, approximation methods, EQUATIONS
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, two-dimensional differential transform method of solution of the initial value problem for partial differential equations (PDEs) have been studied. New theorems have been added and some linear and nonlinear PDEs solved by using this method. The method can be easily applied to linear or nonlinear problems and is capable of reducing the size of computational work. In this work, additionally, analytical form solutions of two diffusion problems have been obtained and the solutions are compared very well with those obtained by decomposition method. (C) 2002 Elsevier Science Inc. All rights reserved.