Variational iteration method for n-dimensional time-fractional Navier-Stokes equation

被引：2
|
作者：
Sharma, Nikhil [1 ]
Alhawael, Ghadah [2 ]
Goswami, Pranay [3 ,4 ]
Joshi, Sunil [1 ]
机构：
[1] Manipal Univ, Dept Math & Stat, Jaipur, India
[2] King Saud Univ, Dept Basic Sci, Common Year Deanship 1, Riyadh, Saudi Arabia
[3] Dr B R Ambedkar Univ, Sch Liberal Studies, Delhi, India
[4] Dr B R Ambedkar Univ, Delhi 110006, India
来源：
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING | 2024年 / 32卷 / 01期
关键词：
Fractional calculus; variational iteration method; Navier-Stoke's equation; Laplace transforms fractional Klein-Gordon equation;
D O I：
10.1080/27690911.2024.2334387
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a modified method is used to approximate the solution to the time-fractional n-dimensional Navier-Stokes equation. The modified method is the Variational Iteration Transform Method, which is implemented in the equation whose fractional order derivative is described in the Caputo sense. The proposed method's findings are presented and examined using figures. It is demonstrated that the proposed method is efficient, dependable, and simple to apply to various science and engineering applications.
引用
收藏
页数：20
相关论文
共 50 条
  • [1] Spectral methods for the time-fractional Navier-Stokes equation
    Zheng, Rumeng
    Jiang, Xiaoyun
    APPLIED MATHEMATICS LETTERS, 2019, 91 : 194 - 200
  • [2] The analytical investigation of time-fractional multi-dimensional Navier-Stokes equation
    Shah, Rasool
    Khan, Hassan
    Baleanu, Dumitru
    Kumam, Poom
    Arif, Muhammad
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (05) : 2941 - 2956
  • [3] 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
  • [4] A Semianalytical Approach to the Solution of Time-Fractional Navier-Stokes Equation
    Ali, Zeeshan
    Nia, Shayan Naseri
    Rabiei, Faranak
    Shah, Kamal
    Tan, Ming Kwang
    ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [5] ON ANALYTICAL SOLUTIONS OF THE CONFORMABLE TIME-FRACTIONAL NAVIER-STOKES EQUATION
    Cheng, Xiaoyu
    Wang, Lizhen
    Shen, Shoufeng
    REPORTS ON MATHEMATICAL PHYSICS, 2022, 89 (03) : 335 - 358
  • [6] A new approach to solve time-fractional Navier-Stokes equation
    Sawant, S.
    Deshpande, R.
    PHYSICA SCRIPTA, 2024, 99 (06)
  • [7] On the time-fractional Navier-Stokes equations
    Zhou, Yong
    Peng, Li
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (06) : 874 - 891
  • [8] MODIFICATION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR MULTI-DIMENSIONAL TIME-FRACTIONAL MODEL OF NAVIER-STOKES EQUATION
    Jan, Himayat Ullah
    Ullah, Hakeem
    Fiza, Mehreen
    Khan, Ilyas
    Mohamed, Abdullah
    Mousa, Abd Allah A.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (02)
  • [9] FRDTM for numerical simulation of multi-dimensional, time-fractional model of Navier-Stokes equation
    Singh, Brajesh Kumar
    Kumar, Pramod
    AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) : 827 - 834
  • [10] A note on time-fractional Navier-Stokes equation and multi-Laplace transform decomposition method
    Eltayeb, Hassan
    Bachar, Imed
    Abdalla, Yahya T.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
12345