A TV−L2−H−1 PDE model for effective denoising

Abstract In this paper, we have proposed a higher order non-linear PDE model containing diffusion terms of T V − L 2 and T V − H − 1 model for effective image denoising. Fourier spectral method for space and convexity splitting method for time have been used to solve the proposed PDE model. Stability analysis for the time discretized equation has been derived. Numerical experiment has been done on some test images and the results have been compared with the results of some existing models.