boundary condition

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boundary condition

n. Mathematics
An equation that specifies the behavior of the solution to a system of differential equations at the boundary of its domain.
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 Noun 1 boundary condition - (mathematics) a condition specified for the solution to a set of differential equationsmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementprecondition, stipulation, condition - an assumption on which rests the validity or effect of something else
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Least mode frequencies are observed for 1st, 2nd, 3rd, and 4th modes for F-F-F-F ( four side free), S-S-S-S (four sides simply supported) and C-F-F-F (Cantilever) boundary conditions and the highest natural frequency is observed for C-C-C-C (four sides clamped) boundary condition.
Figure 5(a) shows the size effect on the sensitivity of the [alpha]-graphyne-based resonator under the SSSS boundary condition for u = v = L/2.
Therefore, it can be concluded that, under the constant flow boundary condition, the water level of vacuum dewatering is lower than the nonvacuum dewatering and the dewatering effect of vacuum dewatering is much better.
In this paper, we study the following differential system with coupled integral boundary conditions:
In order to verify the accuracy of the procedure that has been built, we consider the three-dimension advection-diffusion equation (1), with initial condition (2) and boundary conditions (3)-(8).
The equation on the right with boundary conditions (13) gives the following fractional differential equation:
Prediction of field data at the boundary can be obtained using a quadratic interpolated initial and boundary condition (see (13)).
The vapor phase flow is driven by the phase change at the liquid-vapor interface, which constitutes the boundary condition of the vapor phase flow.
Wang, "A fractional boundary value problem with dirichlet boundary condition," Communications in Applied Analysis, vol.
First Boundary Condition. The first kind of boundary condition is called the Dirichlet boundary condition.
However, these new boundary conditions must be carefully constructed, because they can perturb essentially the solution of the initial value problem.
The main reason for this is the lack of support for boundary conditions or the inefficiency of computing them.

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