in this paper, we investigate the application of the homotopy perturbation method (hpm) for solving a one-dimensional nonlinear inverse heat conduction problem. in this problem the thermal conductivity term is a linear function with respect to unknown heat temperature in bounded interval. furthermore, the temperature histories are unknown at the end point of the interval. this problem is ill-po...

Complex nonlinear phenomena are investigated in a basic power system model of the single-machine-infinite-bus (SMIB) with a synchronous generator modeled by a classical third-order differential equation including both angle dynamics and voltage dynamics, the so-called flux decay equation. In contrast, for the second-order differential equation considering the angle dynamics only, it is the clas...

Abstract In this paper, a linear partial differential mathematical choreography model is proposed for the accuracy of action recognition in dance rehearsal systems. This paper more accurately represents change features. The article uses pyramid algorithm (LK) to calculate pixels’ optical flow vector dt time. Then adopts multi-feature fusion module fuse multi-channel Finally, system completes ac...