数学研究通讯

2018, (01) 1-14

[打印本页] [关闭]
本期目录 | 过刊浏览 | 高级检索

Homotopy Analysis Method for Solving (2+1)-dimensional Navier-Stokes Equations with Perturbation Terms

Ji Juan-juan;Zhang Lan-fang;

摘要(Abstract):

In this paper Homotopy Analysis Method(HAM) is implemented for obtaining approximate solutions of(2+1)-dimensional Navier-Stokes equations with perturbation terms. The initial approximations are obtained using linear systems of the Navier-Stokes equations; by the iterations formula of HAM, the first approximation solutions and the second approximation solutions are successively obtained and Homotopy Perturbation Method(HPM) is also used to solve these equations; finally,approximate solutions by HAM of(2+1)-dimensional Navier-Stokes equations without perturbation terms and with perturbation terms are compared. Because of the freedom of choice the auxiliary parameter of HAM, the results demonstrate that the rapid convergence and the high accuracy of the HAM in solving Navier-Stokes equations; due to the effects of perturbation terms, the 3 rd-order approximation solutions by HAM and HPM have great fluctuation.

关键词(KeyWords):

Abstract:

Keywords:

基金项目(Foundation):

作者(Author): Ji Juan-juan;Zhang Lan-fang;

Email:

参考文献(References):

扩展功能
本文信息
服务与反馈
本文关键词相关文章
本文作者相关文章
中国知网
分享