Analytical Solutions of the Navier-Stokes Model by He’s Polynomials
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Abstract
Description
Navier-Stokes models are of great usefulness in
physics and applied sciences. In this paper, He’s polynomials
approach is implemented for obtaining approximate and exact
solutions of the Navier-Stokes model. These solutions are
calculated in the form of series with easily computable
components. This technique is showed to be very effective,
efficient and reliable because it gives the exact solution of the
solved problems with less computational work, without
neglecting the level of accuracy. We therefore, recommend the
extension and application of this novel method for solving
problems arising in other aspect of applied sciences. Numerical
computations, and graphics done in this work, are through
Maple 18.
Keywords
Q Science (General), QA Mathematics