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, vol.10, no.4, pp.966-976, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.2478/s11534-012-0038-7
  • Journal Name: Central European Journal of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.966-976
  • Keywords: homotopy perturbation method, new iterative method, nonlinear Navier-Stokes, nonlinear Sturm-Liouville, variational iterative method
  • Open Archive Collection: AVESIS Open Access Collection
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.