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 “Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.”
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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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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A note on the difference schemes for hyperbolic equations.
Ashyralyev, A., Sobolevskii, P.E. (2001)
Abstract and Applied Analysis
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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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Finite difference method for hyperbolic equations with the nonlocal integral condition.
Ashyralyev, Allaberen, Aggez, Necmettin (2011)
Discrete Dynamics in Nature and Society
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On well-posedness of the nonlocal boundary value problem for parabolic difference equations.
Ashyralyev, A., Karatay, I., Sobolevskii, P.E. (2004)
Discrete Dynamics in Nature and Society
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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 second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.
Ashyralyev, Allaberen, Gercek, Okan (2010)
Abstract and Applied Analysis
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Finite volume schemes for the p-laplacian on cartesian meshes
Boris Andreianov, Franck Boyer, Florence Hubert (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper is concerned with the finite volume approximation of the p-laplacian equation with homogeneous Dirichlet boundary conditions on rectangular meshes. A reconstruction of the norm of the gradient on the mesh’s interfaces is needed in order to discretize the p-laplacian operator. We give a detailed description of the possible nine points schemes ensuring that the solution of the resulting finite dimensional nonlinear system exists and is unique. These schemes, called admissible,...
A note on the parabolic differential and difference equations.
Ashyralyev, Allaberen, Sozen, Yasar, Sobolevskii, Pavel E. (2007)
Abstract and Applied Analysis
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Nonlocal boundary value problems for elliptic-parabolic differential and difference equations.
Ashyralyev, Allaberen, Gercek, Okan (2008)
Discrete Dynamics in Nature and Society
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