On the Computation of the Numerical Blow-up Time of Solution for a Parabolic System
- Adou Koffi Achille
- Diop Fatou N.
Abstract
In this work, we investigate blow-up phenomena in coupled parabolic equations through finite difference discretization. A numerical method using a scheme with uniform temporal grid size is used for estimating the blow-up time of the solution of a Coupled System when the solution diverges at a finite time. After establishing conditions under which blow up occurs and proving convergence of numerical blow-up times, we give some numerical experiments to illustrate our analysis
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- DOI:10.5539/jmr.v17n4p2
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