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

• Autorzy: Alireza Golmankhaneh , Tuhid Khatuni , Neda Porghoveh , Dumitru Baleanu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

homotopy perturbation method; new iterative method; variational iterative method; nonlinear Sturm-Liouville; nonlinear Navier-Stokes

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 966-976

Daty

wydano

2012-08-01

online

2012-07-17

Twórcy

autor

Alireza Golmankhaneh

• Department of Physics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Oromiyeh, Iran,

autor

Tuhid Khatuni

• Department of Physics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Oromiyeh, Iran

autor

Neda Porghoveh

• Department of Physics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Oromiyeh, Iran

autor

Dumitru Baleanu,

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Identyfikatory

DOI

10.2478/s11534-012-0038-7