Finite difference schemes for the symmetric Keyfitz-Kranzer system
Analysis of PDEs
2015-06-11 v2 Numerical Analysis
Abstract
We are concerned with the convergence of numerical schemes for the initial value problem associated to the Keyfitz-Kranzer system of equations. This system is a toy model for several important models such as in elasticity theory, magnetohydrodynamics, and enhanced oil recovery. In this paper we prove the convergence of three difference schemes. Two of these schemes is shown to converge to the unique entropy solution. Finally, the convergence is illustrated by several examples.
Cite
@article{arxiv.1209.2000,
title = {Finite difference schemes for the symmetric Keyfitz-Kranzer system},
author = {U. Koley and N. H. Risebro},
journal= {arXiv preprint arXiv:1209.2000},
year = {2015}
}
Comments
31 pages