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The new semianalytical technique for the solution of fractional-order Navier-Stokes equation - MaRDI portal

The new semianalytical technique for the solution of fractional-order Navier-Stokes equation (Q2028661)

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scientific article; zbMATH DE number 7353428
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The new semianalytical technique for the solution of fractional-order Navier-Stokes equation
scientific article; zbMATH DE number 7353428

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    The new semianalytical technique for the solution of fractional-order Navier-Stokes equation (English)
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    1 June 2021
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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.
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    residual power series method
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    Elzaki transformation.
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