Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations

Bildik N., Konuralp A.

International Journal of Computer Mathematics, cilt.83, sa.12, ss.973-987, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Sayı: 12
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1080/00207160601173407
  • Dergi Adı: International Journal of Computer Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.973-987
  • Anahtar Kelimeler: Adomian's decomposition method, two-dimensional differential transform method, variational iteration method
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The implementation of the two-dimensional differential transform method (DTM), Adomian's decomposition method (ADM), and the variational iteration method (VIM) in the mathematical applications of partial differential equations is examined in this paper. The VIM has been found to be particularly valuable as a tool for the solution of differential equations in engineering, science, and applied mathematics. The three methods are compared and it is shown that the VIM is more efficient and effective than the ADM and the DTM, and also converges to its exact solution more rapidly. Numerical solutions of two examples are calculated and the results are presented in tables and figures.