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] 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
  • [2] 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
  • [3] Analytical Solution of Time-Fractional Navier-Stokes Equation in Polar Coordinate by Homotopy Perturbation Method
    Ganji, Z. Z.
    Ganji, D. D.
    Ganji, Ammar D.
    Rostamian, M.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (01) : 117 - 124
  • [4] Variational iteration method for the time-fractional Fornberg-Whitham equation
    Sakar, Mehmet Giyas
    Erdogan, Fevzi
    Yildirim, Ahmet
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (09) : 1382 - 1388
  • [5] ON SOLUTIONS TO THE TIME-FRACTIONAL NAVIER-STOKES EQUATIONS WITH DAMPING
    Pal, Subha
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (02) : 509 - 518
  • [6] Analytical Study of Navier-Stokes Equation with Fractional Orders Using He's Homotopy Perturbation and Variational Iteration Methods
    Khan, Najeeb Alam
    Ara, Asmat
    Ali, Syed Anwer
    Mahmood, Amir
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (09) : 1127 - 1134
  • [7] 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):
  • [8] Variational iteration method for solving the space- and time-fractional KdV equation
    Momani, Shaher
    Odibat, Zaid
    Alawneh, Ahmed
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (01) : 262 - 271
  • [9] HE'S VARIATIONAL ITERATION METHOD FOR SOLVING MULTI-DIMENSIONAL OF NAVIER STOKES EQUATION
    Zellal, Mohamed
    Belghaba, Kacem
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (05): : 724 - 737
  • [10] 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)
12345