Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions

Louis A. Assalé, Théodore K. Boni and Diabate Nabongo

Journal of Applied Mathematics, 2008, vol. 2008, 1-29

Abstract:

We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation , with boundary conditions , , blows up in a finite time and estimate its semidiscrete blow-up time. We also establish the convergence of the semidiscrete blow-up time and obtain some results about numerical blow-up rate and set. Finally, we get an analogous result taking a discrete form of the above problem and give some computational results to illustrate some points of our analysis.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:753518

DOI: 10.1155/2008/753518

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