Comparison of three semi-analytical methods for solving (1+1)-dimensional dispersive long wave equations

Ugurlu Y., KAYA D., Inan I. E.

Computers and Mathematics with Applications, cilt.61, sa.5, ss.1278-1290, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2010.12.026
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1278-1290
  • Anahtar Kelimeler: (1+1-dimensional dispersive long wave equation, Adomian polynomials, Adomian's decomposition method, Homotopy analysis method, Homotopy perturbation method, Semi-analytical methods, Series solutions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this work, we consider how Adomian's decomposition method (ADM), the homotopy analysis method (HAM) and the homotopy perturbation method (HPM) can be used to investigate wave solutions of (1+1)-dimensional dispersive long wave equations. It is also worth noting that the advantage of the approximation of the series methodologies is a fast convergence of the solutions. © 2010 Elsevier Ltd. All rights reserved.