Abstract
We obtain some conditions under which the positive solution forsemidiscretizations of the semilinear equation , with boundary conditions , , blows up in a finite time and estimate its semidiscrete blow-up time. We also establishthe convergence of the semidiscrete blow-up time and obtain some results aboutnumerical blow-up rate and set. Finally, we get an analogous result takinga discrete form of the above problem and give some computational results toillustrate some points of our analysis.
Citation
Louis A. Assalé. Théodore K. Boni. Diabate Nabongo. "Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions." J. Appl. Math. 2008 1 - 29, 2008. https://doi.org/10.1155/2008/753518
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