Homotopy analysis method for solving coupled Ramani equations

Jafarian A., Ghaderi P., Khalili Golmankhaneh A., Baleanu D.

Romanian Journal of Physics, cilt.59, sa.1-2, ss.26-35, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 1-2
  • Basım Tarihi: 2014
  • Dergi Adı: Romanian Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.26-35
  • Anahtar Kelimeler: Approximate solution, Coupled Ramani equations, Homotopy analysis method
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this manuscript, coupled Ramani equations are solved by means of an analytic technique, namely the homotopy analysis method (HAM). The HAM is a capable and a straightforward analytic tool for solving nonlinear problems and does not need small parameters in the governing equations and boundary/initial conditions. The result of this study presents the utility and sufficiency of HAM method. Comparisons demonstrate that there is a good agreement between the HAM solutions and the exact solutions.