Two conservative difference schemes for the generalized Rosenau equation.
Hu, Jinsong, Zheng, Kelong (2010)
Boundary Value Problems [electronic only]
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Hu, Jinsong, Zheng, Kelong (2010)
Boundary Value Problems [electronic only]
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Liang, Zongqi (2009)
Discrete Dynamics in Nature and Society
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Hu, Jinsong, Hu, Bing, Xu, Youcai (2011)
Mathematical Problems in Engineering
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Hu, Jinsong, Xu, Youcai, Hu, Bing (2010)
Boundary Value Problems [electronic only]
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Zhong, Penghong, Wang, Shu, Wang, Ke, Bai, Yiping (2010)
Discrete Dynamics in Nature and Society
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Goubet, Olivier, Hussein, Manal (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Julien Berton, Robert Eymard (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider the use of finite volume methods for the approximation of a parabolic variational inequality arising in financial mathematics. We show, under some regularity conditions, the convergence of the upwind implicit finite volume scheme to a weak solution of the variational inequality in a bounded domain. Some results, obtained in comparison with other methods on two dimensional cases, show that finite volume schemes can be accurate and efficient.
Ma, Ruyun (2007)
Advances in Difference Equations [electronic only]
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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.
Castro T., Rafael A. (2008)
Revista Colombiana de Matemáticas
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