University of Tabriz Computational Methods for Differential Equations 2345-3982 9 4 2021 10 01 PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity 1100 1108 12150 10.22034/cmde.2020.37139.1646 EN Santosh Kumar Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-201310, UP, India. Khursheed Alam Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-201310, UP, India. Journal Article 2020 03 06 In the present study, we propose an effective nonlinear anisotropic diffusion-based hyperbolic parabolic model for image denoising and edge detection. The hyperbolicparabolic model employs a second-order PDEs and has a second-time derivative to time t. This approach is very effective to preserve sharper edges and better-denoised images of noisy images. Our model is well-posed and it has a unique weak solution under certain conditions, which is obtained by using an iterative finite difference explicit scheme. The results are obtained in terms of peak signal to noise ratio (PSNR) as a metric, using an explicit scheme with forward-backward diffusivities. Image Denoising nonlinear hyperbolic-parabolic equation nonlinear diffusion equation explicit scheme forward-backward diffusivity https://cmde.tabrizu.ac.ir/article_12150_863cc616903b1b2ce226236149f1c592.pdf