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Zbl 1096.65131
Momani, Shaher; Odibat, Zaid
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. (English)
[J] Appl. Math. Comput. 177, No. 2, 488-494 (2006). ISSN 0096-3003

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 2000:: *65R20 Integral equations (numerical methods)
35Q30 Stokes and Navier-Stokes equations
76D05 Navier-Stokes equations (fluid dynamics)
45K05 Integro-partial differential equations
45G10 Nonsingular nonlinear integral equations
26A33 Fractional derivatives and integrals (real functions)
76M25 Other numerical methods

Keywords: Caputo fractional derivative; numerical examples; Adomian decomposition method; time-fractional Navier-Stokes equation

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Zentralblatt MATH Berlin [Germany]