The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation

In this paper, we introduce a modified method which is constructed by mixing the residual power series method and the Elzaki transformation. Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency...

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Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-13
Main Authors: Shah, Nehad Ali, Areshi, Mounirah, Chung, Jae Dong, Nonlaopon, Kamsing
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Fluid flow
Laplace transforms
Navier-Stokes equations
Nonlinear systems
Partial differential equations
Power
Power series
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Summary:In this paper, we introduce a modified method which is constructed by mixing the residual power series method and the Elzaki transformation. Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency and the validity of the technique on the fractional-order Navier-Stokes models. Then, we apply this new method to analyze the fractional-order nonlinear system of Navier-Stokes models. Finally, we provide 3-D graphical plots to support the impact of the fractional derivative acting on the behavior of the obtained profile solutions to the suggested models.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5588601