A Navier–Stokes system on a curve is discussed. The quotient equation for this found. used to find some solutions of system. Using asymptotic virial expansion the Planck potential, we reduce series systems ordinary differential equations.

This paper investigates different high order finite difference schemes and their accuracy for Burgers equation and Navier-Stokes equations. On a coarse grid, theoretical and numerical analysis indicate that a higher order difference scheme does not necessarily obtain more accurate solutions than a lower order scheme in the regions of high gradient variation (2nd order derivative). On a coarse g...