Numerical Solution of a parabolic system with blowup of the solution
Numerical Analysis
2009-05-19 v1
Abstract
In this paper, the author proposes a numerical method to solve a parabolic system of two quasilinear equations of nonlinear heat conduction with sources. The solution of this system may blow up in finite time. It is proved that the numerical solution also may blow up in finite time and an estimate of this time is obtained. The convergence of the scheme is obtained for particular values of the parameters.
Keywords
Cite
@article{arxiv.0905.2862,
title = {Numerical Solution of a parabolic system with blowup of the solution},
author = {Marie-Noëlle Le Roux},
journal= {arXiv preprint arXiv:0905.2862},
year = {2009}
}
Comments
22 pages