On quasi-linear PDAEs with convection: applications, indices, numerical solution
Numerical Analysis
2013-03-19 v1
Abstract
For a class of partial differential algebraic equations (PDAEs) of quasi-linear type which include nonlinear terms of convection type a possibility to determine a time and spatial index is considered. As a typical example we investigate an application from plasma physics. Especially we discuss the numerical solution of initial boundary value problems by means of a corresponding finite difference splitting procedure which is a modification of a well known fractional step method coupled with a matrix factorization. The convergence of the numerical solution towards the exact solution of the corresponding initial boundary value problem is investigated. Some results of a numerical solution of the plasma PDAE are given.
Cite
@article{arxiv.1303.4115,
title = {On quasi-linear PDAEs with convection: applications, indices, numerical solution},
author = {Wenfried Lucht and Kristian Debrabant},
journal= {arXiv preprint arXiv:1303.4115},
year = {2013}
}