Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations

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Khalili Golmankhaneh A., Khatuni T., Porghoveh N. A., Baleanu D.

Central European Journal of Physics, cilt.10, sa.4, ss.966-976, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.2478/s11534-012-0038-7
  • Dergi Adı: Central European Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.966-976
  • Anahtar Kelimeler: homotopy perturbation method, new iterative method, nonlinear Navier-Stokes, nonlinear Sturm-Liouville, variational iterative method
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this manuscript the homotopy perturbation method, the new iterative method, and the variational iterative method have been successively used to obtain approximate analytical solutions of nonlinear Sturm-Liouville, Navier-Stokes and Burgers' equations. It is shown that the homotopy perturbation method gives approximate analytical solution near to the exact one. We have illustrated the obtained results by sketching the graph of the solutions. © 2012 Versita Warsaw and Springer-Verlag Wien.