He's Variational Iteration Method for Solving Multi-Dimensional of Navier Stokes Equation

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Mohamed Zellal, Kacem Belghaba, He's Variational Iteration Method for Solving Multi-Dimensional of Navier Stokes Equation, Int. J. Anal. Appl., 18 (5) (2020), 724-737.

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Mohamed Zellal, Kacem Belghaba

Abstract

In this paper, He's variational iteration method (VIM), established by He in (1999), is adopted to solve two and three dimensional of Navier-Stokes equation in cartesian coordinates. This method is a powerful tool to handle linear and nonlinear models. The main property of the method is its softness and ability to solve nonlinear equations, accurately and easily. Using variational iteration method, it is possible to find the exact solution or a closed approximate solution of a problem. To illustrate the capacity and reliability of this method, some examples and numerical results are provided.

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