Abstract: In this paper, finite difference schemes for linear and nonlinear models of wheezes are given. The waveform of wheezes is analysed. The authors show that numerical results of the linear model of wheezes coincide well with Grotberg's theoretical results, while numerical results of the nonlinear model of wheezes are in qualitative agreement with our experimental observations. It is suggested that, the nonlinear elastance coefficient (β) causes damping and is closely related with the flow limitation and the airway collapse. Wheezes result from the interaction between the fluid force and the wall force, and the airway wall flutter is a forced-vibration rather than a self-vibration.