Abstract: Algorithm based on partial differential equation is widely used in image enhancement denoising technology in recent years.For image denoising,using PDE algorithm in a single can't effectively preserve image detail information,and can produce the steps of the local effect.Aiming at this problem,this paper puts forward the algorithm combinated total variation and the forward and backward diffusion model not only sharpen edges effect effectively,but also control the generation of the staircase effect.The simulation results show that the combination of the two methods for image has higher peak signal to noise ratio,and improves the limitations of single method for image denoising.