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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 a version of...
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 a version...
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