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

被引：1

作者：

Khan, Najeeb Alam ^{[1
]}

Ara, Asmat ^{[1
]}

Ali, Syed Anwer ^{[1
]}

Mahmood, Amir ^{[2
]}

机构：

[1] Univ Karachi, Dept Math, Karachi 75270, Pakistan

[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2009年 / 10卷 / 09期

关键词：

Fractional calculus; Navier-Stokes equation; Homotopy perturbation method (HPM); Variational iteration method (VIM); PARTIAL-DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTION; ASYMPTOTIC METHODS; PRINCIPLES; FLOW;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：1127 / 1134

页数：8

共 43 条

[1] Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method [J].