Abstract: In this paper, for a class of nonlinear system of equations #br#F₁x₁,x₂=0#br#F₂x₁,x₂=0#br# we formulate a partial Broyden method. The basic idea is that the relation of x₁ to x₂ is determined by the first subsystem of equations F₁=0, then the Broyden method is applied to the second one F₂=0, thus forming a iterative procedure.The application of partical Broyden method to discretized fpT equations is described and numerical results is given.