Difference scheme for the Vlasov-Manev system.
Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Displaying similar documents to “The finite difference scheme for 3D mathematical modeling of a wood drying process.”
Difference scheme for the Vlasov-Manev system.
Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem
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...
Generalized method of lines for first order partial functional differential equations
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. ...
Stability of finite difference schemes for certain problems in biology
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.
Numerical experiments with different schemes for a singularly perturbed problem.
Herceg, Dragoslav, Surla, Katarina, Radeka, Ivana, Maličić, Helena (2001)
Novi Sad Journal of Mathematics
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Stability analysis of a difference scheme for the vibration equation with a finite number of degrees of freedom
T. Lewiński (1984)
Applicationes Mathematicae
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Three-level difference schemes on non-uniform in time grids.
Matus, P., Zyuzina, E. (2001)
Computational Methods in Applied Mathematics
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A new second order finite difference conservative scheme.
Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2005)
Divulgaciones Matemáticas
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Convergence of a mimetic finite difference method for static diffusion equation.
Guevara-Jordan, J.M., Rojas, S., Freites-Villegas, M., Castillo, J.E. (2007)
Advances in Difference Equations [electronic only]
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On some finite difference schemes for solution of hyperbolic heat conduction problems
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...
Difference schemes for pluriparabolic equations.
Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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A family of sixth-order compact finite-difference schemes for the three-dimensional Poisson equation.
Kyei, Yaw, Roop, John Paul, Tang, Guoqing (2010)
Advances in Numerical Analysis
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Low Volatility Options and Numerical Diffusion of Finite Difference Schemes
Milev, Mariyan, Tagliani, Aldo (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 65M06, 65M12. In this paper we explore the numerical diffusion introduced by two nonstandard finite difference schemes applied to the Black-Scholes partial differential equation for pricing discontinuous payoff and low volatility options. Discontinuities in the initial conditions require applying nonstandard non-oscillating finite difference schemes such as the exponentially fitted finite difference schemes suggested by D. Duffy and...