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A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-09-23 , DOI: 10.1186/s13662-020-02981-7
Hassan Eltayeb , Imed Bachar , Yahya T. Abdalla

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.



中文翻译:

关于时间分数Navier–Stokes方程和多Laplace变换分解方法的注释

在这项研究中,分别使用双重拉普拉斯阿当斯分解法和三次拉普拉斯阿当斯分解法分别解决一维和二维时间分数纳维-斯托克斯问题。为了检查这些方法的适用性,提供了一些示例。提出的结果证实,所提出的方法在寻找问题的精确和近似解中非常有效。数值模拟用于描绘精确和近似的解决方案。

更新日期:2020-09-23
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