The Studies of Usefulness of Compact Finite Derivatives and Navier-Stokes Equations to Identify the Significance of Interpolation Strategies

Anil Kumar, Satrughan Kumar

Abstract: Having the limitations like Grid requirements and complexity and enabling the advantages like high accuracy, computational efficiency as well as numerical stability Compact Finite Differential Methods has applications like Navier-Stokes equations, Burger?s equation, Boundary layer flows and Advection-dispersion equations in the field of fluid dynamics, a field where Compact Finite Methods (CFMs) seems to better fit for finding solutions. In this paper we are going to study about usefulness of compact finite derivatives in certain conditions like Navier-Stokes equations. Implementation of Navier-Stokes equation in the field of fluid dynamics results to the accuracy attribute of CFMs.

Keywords: Fluid Dynamics, Navier-Stokes equation, Interpolation strategies, Reynolds number

How to Cite?: Anil Kumar, Satrughan Kumar, "The Studies of Usefulness of Compact Finite Derivatives and Navier-Stokes Equations to Identify the Significance of Interpolation Strategies", Volume 14 Issue 12, December 2025, International Journal of Science and Research (IJSR), Pages: 649-653, https://www.ijsr.net/getabstract.php?paperid=SR251208204544, DOI: https://dx.doi.org/10.21275/SR251208204544