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Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. (English) Zbl 1096.65131
Summary: The aim of the present analysis is to apply the Adomian decomposition method for the solution of a time-fractional Navier-Stokes equation in a tube. By using an initial value, the explicit solution of the equation is presented in closed form and then its numerical solution is represented graphically. The present method performs extremely well in terms of efficiency and simplicity.

MSC:
65R20 Numerical methods for integral equations
35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
45K05 Integro-partial differential equations
45G10 Other nonlinear integral equations
26A33 Fractional derivatives and integrals
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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