Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
Ashyralyev, Allaberen, Sobolevskii, Pavel E. (2005)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “A note on the difference schemes for hyperbolic equations.”
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space.
Ashyralyev, Allaberen, Koksal, Mehmet Emir (2007)
Discrete Dynamics in Nature and Society
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Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.
Ashyralyev, Allaberen, Sirma, Ali (2009)
Discrete Dynamics in Nature and Society
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Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.
Ashyralyev, Allaberen, Sobolevskiĭ, Pavel E. (2006)
Discrete Dynamics in Nature and Society
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Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions.
Ashyralyev, A. (2007)
Mathematical Problems in Engineering
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Difference schemes for pluriparabolic equations.
Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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A new conservative finite difference scheme for Boussinesq paradigm equation
Natalia Kolkovska, Milena Dimova (2012)
Open Mathematics
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A family of nonlinear conservative finite difference schemes for the multidimensional Boussinesq Paradigm Equation is considered. A second order of convergence and a preservation of the discrete energy for this approach are proved. Existence and boundedness of the discrete solution on an appropriate time interval are established. The schemes have been numerically tested on the models of the propagation of a soliton and the interaction of two solitons. The numerical experiments demonstrate...
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...
Error estimates for partial differential equations
Olof B. Widlund (1968)
Aplikace matematiky
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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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