ADOMIAN' S METHOD APPLIED TO NAVIER-STOKES EQUATION WITH A FRACTIONAL ORDER

被引:0
作者
Wang, Yihong [1 ]
Zhao, Zhengang [1 ]
Li, Changpin [1 ]
Chen, YangQuan
机构
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源
PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 4, PTS A-C | 2010年
关键词
Adomian's method; fractional derivative; Navier-Stokes Equation; DIFFERENTIAL-EQUATIONS; DECOMPOSITION METHOD; APPROXIMATE SOLUTION; NUMERICAL-SOLUTIONS; SYSTEM;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, Adomian's method is effectively implemented to determine the (approximate) analytic solution of the fractional-order Navier-Stokes equation. Such a solution is expressed in the form of a series with easily computable components. An illustrative example is presented.
引用
收藏
页码:1047 / 1054
页数:8
相关论文
共 50 条
  • [1] Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
    Momani, Shaher
    Odibat, Zaid
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (02) : 488 - 494
  • [2] Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation
    Mahmood, Shahid
    Shah, Rasool
    Khan, Hassan
    Arif, Muhammad
    SYMMETRY-BASEL, 2019, 11 (02):
  • [3] RELAXATION METHOD FOR NAVIER-STOKES EQUATION
    De Oliveira, P. M. C.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2012, 23 (04):
  • [4] Application of Adomian's approximations to the Navier-Stokes equations in cylindrical coordinates
    Haldar, K
    APPLIED MATHEMATICS LETTERS, 1996, 9 (04) : 109 - 113
  • [5] Analysis of fractional multi-dimensional Navier-Stokes equation
    Chu, Yu-Ming
    Shah, Nehad Ali
    Agarwal, Praveen
    Chung, Jae Dong
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [6] Stability of Navier-Stokes Equation(Ⅰ)
    施惟慧
    Applied Mathematics and Mechanics(English Edition), 1994, (09) : 865 - 866
  • [7] Variational iteration method for n-dimensional time-fractional Navier-Stokes equation
    Sharma, Nikhil
    Alhawael, Ghadah
    Goswami, Pranay
    Joshi, Sunil
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2024, 32 (01):
  • [8] Analysis of fractional Navier-Stokes equations
    Jafari, Hossein
    Zair, Muslim Yusif
    Jassim, Hassan Kamil
    HEAT TRANSFER, 2023, 52 (03) : 2859 - 2877
  • [9] OBSERVERS FOR COMPRESSIBLE NAVIER-STOKES EQUATION
    Apte, Amit
    Auroux, Didier
    Ramaswamy, Mythily
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (02) : 1081 - 1104
  • [10] The Navier-Stokes equation in noncylindrical domain
    Miranda, MM
    Límaco, J
    COMPUTATIONAL & APPLIED MATHEMATICS, 1997, 16 (03) : 247 - 265