Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method

By Sunil Kumar, Deepak Kumar, Saeid Abbasbandy, Mohammad Mehdi Rashidi. 2014

168 citations recorded by the source corpus.

Abstract The aim of this article is to introduce a new analytical and approximate technique to obtain the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is the coupling of Adomian decomposition method (ADM) and Laplace transform method (LTM). We have consider the unsteady flow of a viscous fluid in a tube in which, besides time as one of the dependent variable, the velocity field is a function of only one space coordinate. A good agreement between the obtained solutions and some well-known results has been demonstrated. It is shown that the proposed method robust, efficient, and easy to implement for linear and nonlinear problems arising in science and engineering.

Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4457cd3cb2a3544c3ce37d96bc4ec0d0fa944898

Citations in the corpus

• On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique (2020, unknown): “Employing the local fractional integration (LFI)24 of Equation (18) with respect to the variable λ gives ( ρ1l − ħ ) Ξν(ħ) + 1 3 ρ2lΞ(2)ν(λ) + 1 3 ρ3lΞ(3)ν(λ) + ρ4l dΞν(λ) dλ2ν = τ, (19)”