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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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, Allaberen, Koksal, Mehmet Emir (2007)
Discrete Dynamics in Nature and Society
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Ashyralyev, Allaberen, Sirma, Ali (2009)
Discrete Dynamics in Nature and Society
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Ashyralyev, A. (2007)
Mathematical Problems in Engineering
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Ma, Zhixia, Xu, Liguang (2009)
Advances in Difference Equations [electronic only]
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Hatvani, L. (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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István Faragó, Ferenc Izsák, Tamás Szabó, Ákos Kriston (2013)
Open Mathematics
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An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the ‖·‖∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.
Guillaume Legendre, Takéo Takahashi (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.
Bainov, D.D., Stamova, I.M., Vatsala, A.S. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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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, A., Sobolevskii, P.E. (2001)
Abstract and Applied Analysis
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