Publicado
2007-07-01
NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION
Palabras clave:
Semidiscretizations, localized semilinear parabolic equation, semidiscrete quenching time, convergence. (es)Descargas
This paper concerns the study of the numerical approximation
for the following initial-boundary value problem:
ut(x; t) = uxx(x; t) + E(1 - u(0; t))-p; (x; t) 2 (-l; l) x (0; T),
u(-l; t) = 0; u(l; t) = 0; t in (0; T),
u(x; 0) = u0(x) >= 0; x in (-l; l),
where p > 1, l = 1/2 and E > 0. Under some assumptions, we prove that the solution of a semidiscrete form of the above problem quenches in a nite time and estimate its semidiscrete quenching time. We also show that the semidiscrete quenching 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.
Cómo citar
APA
Nabongo, D. y Boni, T. (2007). NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION. Boletín de Matemáticas, 14(2), 92–109. https://revistas.unal.edu.co/index.php/bolma/article/view/40463
ACM
[1]
Nabongo, D. y Boni, T. 2007. NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION. Boletín de Matemáticas. 14, 2 (jul. 2007), 92–109.
ACS
(1)
Nabongo, D.; Boni, T. NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION. Bol. Matemáticas 2007, 14, 92-109.
ABNT
NABONGO, D.; BONI, T. NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION. Boletín de Matemáticas, [S. l.], v. 14, n. 2, p. 92–109, 2007. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/40463. Acesso em: 10 abr. 2025.
Chicago
Nabongo, Diabate, y Théodore Boni. 2007. «NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION». Boletín De Matemáticas 14 (2):92-109. https://revistas.unal.edu.co/index.php/bolma/article/view/40463.
Harvard
Nabongo, D. y Boni, T. (2007) «NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION», Boletín de Matemáticas, 14(2), pp. 92–109. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/40463 (Accedido: 10 abril 2025).
IEEE
[1]
D. Nabongo y T. Boni, «NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION», Bol. Matemáticas, vol. 14, n.º 2, pp. 92–109, jul. 2007.
MLA
Nabongo, D., y T. Boni. «NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION». Boletín de Matemáticas, vol. 14, n.º 2, julio de 2007, pp. 92-109, https://revistas.unal.edu.co/index.php/bolma/article/view/40463.
Turabian
Nabongo, Diabate, y Théodore Boni. «NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION». Boletín de Matemáticas 14, no. 2 (julio 1, 2007): 92–109. Accedido abril 10, 2025. https://revistas.unal.edu.co/index.php/bolma/article/view/40463.
Vancouver
1.
Nabongo D, Boni T. NUMERICAL QUENCHING SOLUTIONS OF LOCALIZED SEMILINEAR PARABOLIC EQUATION. Bol. Matemáticas [Internet]. 1 de julio de 2007 [citado 10 de abril de 2025];14(2):92-109. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/40463
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Derechos de autor 2007 Boletín de Matemáticas

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.