In this paper, the time evolution of the quasiparticle distribution in a small absorber of the superconducting cold-electron bolometer (SCEB) was modeled. The model used was based on the diffusion model developed for the superconducting tunnel junction with large absorbers. The result showed that the use of a small absorber led to faster response time of the bolometer. Compared to other types of infrared and microwave bolometer, the SCEB promises to perform better and faster and can easily be integrated with the read-out electronics.