Difference scheme for the Vlasov-Manev system.
Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Florian Mehats (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We present here a discretization of a nonlinear oblique derivative boundary value problem for the heat equation in dimension two. This finite difference scheme takes advantages of the structure of the boundary condition, which can be reinterpreted as a Burgers equation in the space variables. This enables to obtain an energy estimate and to prove the convergence of the scheme. We also provide some numerical simulations of this problem and a numerical study of the stability of the...
W. Czernous (2006)
Annales Polonici Mathematici
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Classical solutions of initial boundary value problems are approximated by solutions of associated differential difference problems. A method of lines for an unknown function for the original problem and for its partial derivatives with respect to spatial variables is constructed. A complete convergence analysis for the method is given. A stability result is proved by using differential inequalities with nonlinear estimates of the Perron type for the given operators. ...
Henryk Leszczyński, Piotr Zwierkowski (2004)
Applicationes Mathematicae
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We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
Herceg, Dragoslav, Surla, Katarina, Radeka, Ivana, Maličić, Helena (2001)
Novi Sad Journal of Mathematics
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T. Lewiński (1984)
Applicationes Mathematicae
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Matus, P., Zyuzina, E. (2001)
Computational Methods in Applied Mathematics
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Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2005)
Divulgaciones Matemáticas
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Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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Raimondas Čiegis, Aleksas Mirinavičius (2011)
Open Mathematics
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We consider the accuracy of two finite difference schemes proposed recently in [Roy S., Vasudeva Murthy A.S., Kudenatti R.B., A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique, Appl. Numer. Math., 2009, 59(6), 1419–1430], and [Mickens R.E., Jordan P.M., A positivity-preserving nonstandard finite difference scheme for the damped wave equation, Numer. Methods Partial Differential Equations, 2004, 20(5), 639–649] to solve an initial-boundary...
Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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Kyei, Yaw, Roop, John Paul, Tang, Guoqing (2010)
Advances in Numerical Analysis
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