Numerical study of a nonlinear heat equation for plasma physics
Numerical Analysis
2011-05-31 v1
Abstract
This paper is devoted to the numerical approximation of a nonlinear temperature balance equation, which describes the heat evolution of a magnetically confined plasma in the edge region of a tokamak. The nonlinearity implies some numerical difficulties, in particular long time behavior, when solved with standard methods. An efficient numerical scheme is presented in this paper, based on a combination of a directional splitting scheme and the IMEX scheme introduced in [Filbet and Jin]
Keywords
Cite
@article{arxiv.1105.5765,
title = {Numerical study of a nonlinear heat equation for plasma physics},
author = {Francis Filbet and Claudia Negulescu and Chang Yang},
journal= {arXiv preprint arXiv:1105.5765},
year = {2011}
}