Blow-up for semidiscretization of a localized semilinear heat equation

• Autorzy: Nabongo D. , Boni T. K.
• Języki publikacji: EN

Abstrakty

EN

This paper concerns the study of the numerical approximation for the following initial-boundary value problem:[wzór] where f: [0, ∞) → [0, ∞) is a C2 convex, nondecreasing function,(wzór) and ε is a positive parameter. Under some assumptions, we prove that the solution of a semidiscrete form of the above problem blows up in a finite time and estimate its semidiscrete blow-up time. We also show that the semidiscrete blow-up time in certain cases converges to the real one when the mesh size tends to zero. Finally, we give some numerical experiments to illustrate our analysis.

Słowa kluczowe

EN

semidiscretization; localized semilinear heat equation; semidiscrete blow-up time; convergence

PL

zlokalizowane półliniowe równanie przewodnictwa ciepła; zbieżność

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 2
• Strony: 173--204
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Nabongo D.

autor

Boni T. K.

• Université D`Abobo-Adjamé UFR-SFA Département de Mathématiques et Informatiques,

Bibliografia

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