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

Advances in Difference Equations

Hassan Eltayeb¹  Imed Bachar¹  Yahya T. Abdalla² 

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

[2]Common First Year, 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;   

DOI  :  10.1186/s13662-020-02981-7

来源: DOAJ

【 摘 要 】

Abstract 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】

Unknown