Shock filtering equation is a mathematical model for enhancing image quality in partial differential equation form. In this paper, the equation is implemented to enhance the Indonesian vehicle registration number image. In this research the discretization of time and spatial domains use finite difference method which is a simple and straightforward approximation method. In this paper, several numerical simulations with different final time iteration are given. Here the results show that, the bluring image can be enhanced using shock filtering equation with long time simulation. Using subjective or visually approach, the image with 90-th iteration gives a good quality of visual image compared with the other final iterations. However, this result has lowest image quality metrics performance. The objective measurement shows that the best quality image is obtained at 10-th iteration, with discrete L2-norm error 507.63, Pearson’s correlation coefficient 0.961353 and PSNR 386.590 dB.