Partial differential equation has a remarkable effect on image denoising, compression and segmentation. Based on partial differential equations, the denoising experiment is carried out on those artistic images requiring high degree of visual reduction through the application of 3 image-denoising algorithm models including thermal diffusion equation, P-M diffusion equation and the TV diffusion equation. By this experience, the respective characteristics in image-denoising of these 3 methods can be analyzed so that a better way can be chosen in adapting to digitization of artistic images or in dealing with distant signal