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

Advances in Difference Equations

article

Eltayeb, Hassan¹  Bachar, Imed¹  Abdalla, Yahya T.² 

[1] College of Science, Mathematics Department, King Saud University;Basic Sciences Mathematics Department, King Saud University

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;   

DOI  :  10.1186/s13662-020-02981-7

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY