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A Note on Analytical Roots of the Navier-Stokes Equation

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Published under licence by IOP Publishing Ltd
, , Citation G. O. Akinlabi et al 2022 J. Phys.: Conf. Ser. 2199 012024 DOI 10.1088/1742-6596/2199/1/012024

1742-6596/2199/1/012024

Abstract

A new approach called the Generalised Picard Iteration Sch eme (GPIS) is used to solve the Navier-Stokes equations in this paper. The solutions are organized in a series with components that are readily computed. Because it delivers the exact solution to the solved issue with minimal computing effort while retaining a high degree of accuracy, this method appears to be extremely adaptable, efficient, effective, and dependable. It is not necessary to identify Lagrange multipliers. As a result, the presented method is recommended for dealing with higher-order linear and non-linear models.

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10.1088/1742-6596/2199/1/012024