Linear Residual Cutting Method has been developed recently , which is one of the numerical methods for CFD. This method is good for solving elliptic (Poisson) equation but not always effective for solving nonlinear problem. In this work, a new numerical method is proposed to solve a nonlinear problem more efficiently. It is clarified that the method (Nonlinear Residual Cutting Method) is better than the linear one from points of a precision and efficiency.