In this paper, we are going to present a class of nonlinear equation solving methods. Steffensen’s method is simple for equation. By using and by combining with it, obtain new method. It can be said that method, due not the function derivative, would good compared Newton’s Finally, will see hybrid both have two-order convergence.

Hybrid methods represent a classic discretization paradigm for elliptic equations. More recently, hybrid methods have been formulated for convection-diffusion problems, in particular compressible fluid flow. In [25], we have introduced a hybrid mixed method for the compressible Navier-Stokes equations as a combination of a hybridized DG scheme for the convective terms, and an H(div,Ω)-method fo...