Analytical Study of Navier-Stokes Equation with Fractional Orders Using He's Homotopy Perturbation and Variational Iteration Methods

作者：Khan Najeeb Alam^*; Ara Asmat; Ali Syed Anwer; Mahmood Amir

来源：International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(9): 1127-1134.

DOI：10.1515/ijnsns.2009.10.9.1127

• Fractional calculus
• Navier-Stokes equation
• Homotopy perturbation method (HPM)
• Variational iteration method (VIM)

In the present work, by introducing the fractional derivative in the, sense of Caputo, the He's homotopy perturbation method (HPM) and variational iteration method (VIM) are used to Study the Navier-Stokes equation with fractional orders.. The analytical Solutions are calculated in the form of series with easily Computable components. Two examples are given. The present methods perform well in terms of efficiency and simplicity. A good agreement of the result is observed.

• 出版日期2009-9