Analytical Solutions of Classical and Fractional Navier-Stokes Equations by the SBA Method

Kamate Adama, Bationo Jeremie Yiyureboula, Djibet Mbaiguesse and Youssouf Pare

Journal of Mathematics Research, 2022, vol. 14, issue 4, 20

Abstract: In this paper, we use the SBA method (a combination of the method of successive approximations, the Adomian decompositional method and Picard’s principle) to obtain the analytical solutions of the systems of classical and fractional Navier-Stokes equations in Cartesian coordinates. The fractional derivative involved in the equations is the Caputo derivative. Then, we compare the solution of the classical system with the solution of the fractional system when the fractional derivative order tends to 1.

Date: 2022
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