Stability of finite difference schemes for complex diffusion processes

• Author(s): Araújo, Adérito ; Barbeiro, Sílvia ; Serranho, Pedro
• Date: 2012
• Persistent ID: http://hdl.handle.net/10400.2/2176
• Origin: Repositório Aberto da Universidade Aberta
• Subject(s): Finite differences; Nonlinear complex diffusion; Stability
• Document Type: Article
• Language: English

Description

In this paper we present a rigorous proof for the stability of a class of finite difference schemes applied to nonlinear complex diffusion equations. Complex diffusion is a common and broadly used denoising procedure in image processing. To illustrate the theoretical results we present some numerical examples based on an explicit scheme applied to a nonlinear equation in the context of image denoising.