Sentence examples for boundary value problem describes from inspiring English sources
On the other hand, it is well known that the fourth-order boundary value problem describes the deformations of an elastic beam in equilibrium state.
The latter observation allows ignoring the additional supply of momenta and energy in the formulation of the initial boundary value problem described in the next sections.
The mistake in the previous work [Jeng, D.-S., 1996. Wave-induced liquefaction potential at the tip of a breakwater. Applied Ocean Research 18 5), 229 241] for oscillatory mechanism is corrected, while a new 3D boundary value problem describing residual mechanism is established.
In order to determine η → ∞ for the boundary value problem described by Equations (11 - 13 11 - 13art weth initial guestartlues for a particular set of physical parameters to obtain f ″ ( 0 ), θ ′ ( 0 ) and ϕ ′ ( 0 ).
The result is a well-posed moving boundary value problem describing the dynamics of curved interfaces and surfaces associated with voids and/or cracks that are intersected by grain boundaries.
We compute the solution of a specific simplified boundary value problem describing the short wave propagation toward a vertical sea cliff or vertical wall and modify accordingly the shape of defense structures in order to minimize a pre-defined cost function taking into account the strength (energy) of the water waves.
To clarify the aims of this paper and to show that it is necessary to develop a new technique to treat the nonstandard equation given above, let us consider a model problem which we designed using the structure of the boundary value problem describing a membrane arising in the theory of shallow membrane caps and studied in [10]; see also [6, 9], (1.2). subject to boundary conditions (1.3).
Procedure for construction of approximate solutions of nonlinear boundary value problems described by second order ODE with parameter at the highest derivative is described.
In this paper, an analytical method is presented to study an initial-boundary value problem describing the transverse displacements of a vertically moving beam under boundary excitation.
