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As it could also be seen from Table 3 that order of mode shapes changes as boundary condition of beam change.
We are interested in the symmetry phase boundary condition and assume [lambda] = 1 for a simpler presentation.
For convenience, a four-letter notation is used to describe the boundary conditions of the edges (see Figure 5).
The original idea of the solution structure method [8] is to express the solution of two-dimensional boundary value problem with homogeneous Dirichlet boundary conditions
Problems I to IV are distinguished by boundary conditions prescribed on the plane circular area S = (0 [less than or equal to] r < 1,0 < 0 [less than or equal to] 2[pi], z = 0).
Allahverdiev, A nonself-adjoint singular Sturm-Liouville problem with a spectral parameter in the boundary condition, Math.
Table 4: Numerical and Physical Model Results for Scenario 3 of Boundary Condition
The present work investigates the influence of various boundary conditions for circular cylinder made of magnetocaloric material.
For t > 0, homogenous boundary conditions of first or second kind are applied to the angular surfaces of [theta] = 0 and [theta] = [psi] and azimuthal surfaces of [phi] = 0 and [phi] = [omega].
It shows that the time-splitting Chebyshev-spectral method is effective in capturing s-oscillatory solutions of the Schrodinger equation with zero far-field boundary conditions.
Using the boundary conditions (13) one can find the integration coefficients after that the solution can be written as:
A crown is added for the fourth level of approximation, with the clamped boundary condition imposed near the center of the crown.

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