A coupled system with integral conditions.
Bougoffa, Lazhar (2004)
Applied Mathematics E-Notes [electronic only]
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Bougoffa, Lazhar (2004)
Applied Mathematics E-Notes [electronic only]
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Argyros, Ioannis K. (1989)
International Journal of Mathematics and Mathematical Sciences
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Aglić Aljinović, A., Pečarić, J., Vukelić, A. (2005)
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Qin, Huizeng, Lu, Youmin (2006)
International Journal of Mathematics and Mathematical Sciences
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Jemal Peradze (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by...
Zouyed, F., Rebbani, F., Boussetila, N. (2007)
Abstract and Applied Analysis
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Paşca, Daniel (2001)
Abstract and Applied Analysis
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Dana Říhová-Škabrahová (2001)
Applications of Mathematics
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The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and...
Kharibegashvili, S. (2005)
Boundary Value Problems [electronic only]
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Troy, William C. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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