Numerical Solution of a parabolic system with blowup of the solution

Details Numerical Solution of a parabolic system with blowup of the solution Numerical Solution of a parabolic system with blowup of the solution

2009-05-18

arxiv.org/abs/0905.2862v1

Mathematics

Numerical Analysis

22 pages

Scientific paper

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.

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