Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions.
Agarwal, S., Bahuguna, D. (2004)
International Journal of Mathematics and Mathematical Sciences
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Agarwal, S., Bahuguna, D. (2004)
International Journal of Mathematics and Mathematical Sciences
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Amassad, Amina, Fabre, Caroline (2002)
International Journal of Mathematics and Mathematical Sciences
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Jacques Audounet, Jean-Michel Roquejoffre, Hélène Rouzaud (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This article is devoted to the numerical study of a flame ball model, derived by Joulin, which obeys to a singular integro-differential equation. The numerical scheme that we analyze here, is based upon a one step method, and we are interested in its long-time behaviour. We recover the same dynamics as in the continuous case: quenching, or stabilization of the flame, depending on heat losses, and an energy input parameter.
Ramos, Miguel, Soares, Sérgio H.M. (2006)
Portugaliae Mathematica. Nova Série
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Kalinde, Albert K. (2002)
International Journal of Mathematics and Mathematical Sciences
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Bounkhel , Messaoud (2003)
Portugaliae Mathematica. Nova Série
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Olek, Anna, Szczepania, Kuba (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Luca, Rodica (2006)
Advances in Difference Equations [electronic only]
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Chen, Kuan-Ju (2009)
Boundary Value Problems [electronic only]
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Wu, Tsung-Fang (2007)
Abstract and Applied Analysis
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Razafimandimby, P.A., Sango, M. (2010)
Boundary Value Problems [electronic only]
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Graça Temido, M. (1999)
Portugaliae Mathematica
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