# Boundary Conditions

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## Boundary Conditions

The limitations to which a mathematical equation is subject under certain circumstances. Boundary conditions are important in solving problems dealing with real world issues.
References in periodicals archive ?
Upon comparison with simple beam model, it is found that if adequate boundary conditions are chosen, simple beam model can be used to estimate some first natural frequencies of a complex structure.
Based on present study, comprehensive results of natural frequency of FGM plates are also illustrated in Figure 7 for different boundary conditions.
Once we constructed the solution structure u = [omega] [PHI] for the boundary value problems with homogeneous Dirichlet boundary conditions, it is easy to obtain the solution structure for nonhomogeneous conditions
With the use of relations (7) and (8) we can express the boundary conditions (9)-(13) in terms of function w(r, z).
Fulton, Two-point boundary value problems with eigenparameter contained in the boundary conditions, Proc.
Table 2: Numerical and Physical Model Results for Scenario 1 of Boundary Condition
11) and has been shown in figure (8)for three boundary conditions and four Reynolds numbers.
im]([phi]) in r-, [theta]-, and [phi]-directions are derived by applying the boundary conditions in each direction in the following equation:
systemically investigated the time-splitting Fourier -spectral method [2, 19] and time-splitting sine-spectral method  for the semiclassical limit of Schrodinger equation with zero far-field boundary conditions and applied themsuccessfully to simulate Bose-Einstein condensation21].
The boundary conditions imposed are: clamped at the top, hinged at the sides, and free at the bottom, (figure 5a)
The provisions of the physical and numerical boundary conditions have a certain degree of arbitrariness.
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