With increasing recording density in computer hard disks,the flying height of the magnetic head becomes 10 nm or less.The numerical method of the control equations needs to be optimized consistently with the decrease of the flying height.The iterative process is usually divergent with traditional methods which cannot ensure the accuracy of the analysis results and the stability of numerical calculations.Firstly,a new scheme is presented to solve the ultra-thin lubricating control equations in this paper.The equilibrium equation is obtained by taking the Couette flow terms and time term as dominating terms in iterative process.Moreover,the weighting flow factor is introduced for the abrupt change of film thickness in order to reduce calculated deviation.Secondly,the rules for variation of flying pose of the magnetic head with time are obtained by the time domain analysis.The results show that the magnetic head can recover to the equilibrium position after being slightly influenced by outside disturbance.And the dynamic lubrication properties of the head suffer heavily from the vibrations in the height direction and fluctuation in the pitch direction.Finally,the analysis of the sine roughness-passing capacity of the head indicates that the head can surpass small sine waves and the equilibrium position can be retrieved after a period of decaying oscillation.The proposed research ensures the accuracy and stability of the numerical calculation of the control equations,and the dynamic characteristics and flying stability of a magnetic head is studied systematically.It can also be the theoretical basis for the analysis of the flight characteristics of the slider.