A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method

被引：0
|
作者：
Hassan Eltayeb
Imed Bachar
Yahya T. Abdalla
机构：
[1] King Saud University,College of Science, Mathematics Department
[2] King Saud University,Common First Year, Basic Sciences Mathematics Department
来源：
Advances in Difference Equations | / 2020卷
关键词：
Double and triple Laplace transform; Inverse double and triple; Laplace transform; Fractional Navier–Stokes equation; Mittag-Leffler functions; Decomposition methods; Single Laplace transform;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respectively. In order to examine the applicability of these methods some examples are provided. The presented results confirm that the proposed methods are very effective in the search of exact and approximate solutions for the problems. Numerical simulation is used to sketch the exact and approximate solution.
引用
收藏
相关论文
共 50 条
  • [1] 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)
  • [2] A Note on the Time-Fractional Navier-Stokes Equation and the Double Sumudu-Generalized Laplace Transform Decomposition Method
    Eltayeb, Hassan
    Bachar, Imed
    Mesloub, Said
    AXIOMS, 2024, 13 (01)
  • [3] 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):
  • [4] 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
  • [5] A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform
    Prakash, Amit
    Prakasha, Doddabhadrappla Gowda
    Veeresha, Pundikala
    NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2019, 8 (01): : 695 - 701
  • [6] Analytical study of time-fractional Navier-Stokes equation by using transform methods
    Kangle Wang
    Sanyang Liu
    Advances in Difference Equations, 2016
  • [7] Analytical study of time-fractional Navier-Stokes equation by using transform methods
    Wang, Kangle
    Liu, Sanyang
    ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 12
  • [8] Analytical Solutions of Time-Fractional Navier-Stokes Equations Employing Homotopy Perturbation-Laplace Transform Method
    Alqahtani, Awatif Muflih
    Mihoubi, Hamza
    Arioua, Yacine
    Bouderah, Brahim
    FRACTAL AND FRACTIONAL, 2025, 9 (01)
  • [9] Analytical solutions of time-fractional wave equation by double Laplace transform method
    Aziz Khan
    Tahir Saeed Khan
    Muhammed I. Syam
    Hasib Khan
    The European Physical Journal Plus, 134
  • [10] Analytical solutions of time-fractional wave equation by double Laplace transform method
    Khan, Aziz
    Khan, Tahir Saeed
    Syam, Muhammed I.
    Khan, Hasib
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (04):
12345