Quenching for Discretizations of a Nonlocal Parabolic Problem with Neumann Boundary Condition

• Théodore K Boni ^[1] ; Diabaté Nabongo ^[2]
  1. [1] Institut National Polytechnique Houphouët-Boigny
  2. [2] Université d’Abobo-Adjamé Département de Mathématiques et Informatiques
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 1, 2010, págs. 23-40
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000100004
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo mostramos, bajo algunas condiciones, que la solución de una forma discreta de un problema parabólico no local se sofoca en tiempo finito y estimamos su tiempo de sofocamiento numérico. Probamos también que el tiempo de sofocamiento numérico converge par un real cuando el tamaño de la malla tiende a cero. Finalmente damos algunos resultados computacionales para ilustrar nuestros análisis.

  • English

    In this paper, under some conditions, we show that the solution of a discrete form of a nonlocal parabolic problem quenches in a finite time and estimate its numerical quenching time. We also prove that the numerical quenching time converges to the real one when the mesh size goes to zero. Finally, we give some computational results to illustrate our analysis.

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