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

Author

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  • Louis A. Assalé
  • Théodore K. Boni
  • Diabate Nabongo

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.

Suggested Citation

  • Louis A. Assalé & Théodore K. Boni & Diabate Nabongo, 2008. "Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions," Journal of Applied Mathematics, Hindawi, vol. 2008, pages 1-29, April.
    • Handle: RePEc:hin:jnljam:753518
    DOI: 10.1155/2008/753518
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