Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation
Copyright policy )Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation
In this research paper, a hybrid method called Laplace Adomian Decomposition Method (LADM) is used for the analytical solution of the system of time fractional Navier-Stokes equation. The solution of this system can be obtained with the help of Maple software, which provide LADM algorithm for the given problem. Moreover, the results of the proposed method are compared with the exact solution of the problems, which has confirmed, that as the terms of the series increases the approximate solutions are convergent to the exact solution of each problem. The accuracy of the method is examined with help of some examples. The LADM, results have shown that, the proposed method has higher rate of convergence as compare to ADM and HPM.
Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, Caputo operator, Caputo Operator, Laplace Adomian Decomposition Method (LADM), Navier-Stokes equations, Laplace Adomian decomposition method (LADM), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Fractional partial differential equations, Navier-Stokes equation
Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, Caputo operator, Caputo Operator, Laplace Adomian Decomposition Method (LADM), Navier-Stokes equations, Laplace Adomian decomposition method (LADM), Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Fractional partial differential equations, Navier-Stokes equation
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