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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Ashyralyev, Allaberen, Sobolevskii, Pavel E. (2005)
Discrete Dynamics in Nature and Society
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Ashyralyev, Allaberen, Koksal, Mehmet Emir (2007)
Discrete Dynamics in Nature and Society
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Ashyralyev, Allaberen, Sobolevskiĭ, Pavel E. (2006)
Discrete Dynamics in Nature and Society
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Ashyralyev, A., Sobolevskii, P.E. (2001)
Abstract and Applied Analysis
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Ashyralyev, A. (2007)
Mathematical Problems in Engineering
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Ashyralyev, Allaberen, Aggez, Necmettin (2011)
Discrete Dynamics in Nature and Society
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Ashyralyev, A., Karatay, I., Sobolevskii, P.E. (2004)
Discrete Dynamics in Nature and Society
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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...
Ashyralyev, Allaberen, Gercek, Okan (2010)
Abstract and Applied Analysis
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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,...
Ashyralyev, Allaberen, Sozen, Yasar, Sobolevskii, Pavel E. (2007)
Abstract and Applied Analysis
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Ashyralyev, Allaberen, Gercek, Okan (2008)
Discrete Dynamics in Nature and Society
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