𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The local linearization scheme for nonlinear diffusion models with discontinuous coefficients

✍ Scribed by O. Stramer

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
93 KB
Volume
42
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

An efficient box-scheme for convection–d
An efficient box-scheme for convection–diffusion equations with sharp contrast in the diffusion coefficients
✍ Jean-Pierre Croisille; Isabelle Greff πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 750 KB

In this paper, we introduce a box-scheme for time-dependent convection-diffusion equations, following principles previously introduced by Courbet in [Rech. A erospatiale 4 (1990) 21] for hyperbolic problems. This scheme belongs to the category of mixed finite-volume schemes. This means that it works

The variational iteration method: A powe
The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations
✍ Abdul-Majid Wazwaz πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this work, we introduce a framework for obtaining exact solutions to linear and nonlinear diffusion equations. Exact solutions are developed for some diffusion processes of power law diffusitivies. He's variational iteration method (VIM) is used for analytic treatment of these equations. The powe

Error estimates of the semi-discrete loc
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection–diffusion and KdV equations
✍ Yan Xu; Chi-Wang Shu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 364 KB

In this paper, we provide L 2 error estimates for the semi-discrete local discontinuous Galerkin methods for nonlinear convection-diffusion equations and KdV equations with smooth solutions. The main technical difficulty is the control of the inter-element jump terms which arise because of the nonli