Numerical Solution of a parabolic system with blowup of the solution

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 o...

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Bibliographic Details
Published in:arXiv.org 2009-05
Main Author: Marie-Noëlle Le Roux
Format: Article
Language:English
Subjects:
Conduction heating
Conductive heat transfer
Nonlinear equations
Numerical methods
Online Access:Get full text
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Summary: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.
ISSN:2331-8422