applying

boundary conditions at upper nodes in FEM having full depth in beam model.

In Table 6, the natural frequencies of FGM plates with arbitrary

boundary conditions are presented.

The question is how to generate functions that will simply describe the given domain and satisfy different

boundary conditions on any part of the boundary?

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).

Seddighi, Sturm-Liouville problems with eigenparameter depend

boundary conditions, Proc Edinb Math Soc, Ser II, 37, 57-72, 1994.

Model was run at different operating conditions by applying all set of

boundary condition for the sensitivity analysis of the model.

The local Nusselt number Nu along with the surface of the cylinder for both CST (a) and CHF (b)

boundary conditions have been presented in figure (3).

n],

boundary conditions of first, second, or third kind are applied by appropriate selection of the coefficients in (2) and (3).

applied Wigner- transform techniques to the analysis of finite difference methods for Schrodinger equation with small s andzero far-field

boundary conditions ( us ( x, t ) decays to zero sufficiently fast as x c oe [1, 2, 5]), they obtainedsharp conditions on the spatial-temporal grid whichguaranteed convergence for values of all observables as Plank constant s tended to zero.

Using the

boundary conditions (13) one can find the integration coefficients after that the solution can be written as:

As a starting point, reference is made to the solution of a one dimensional wave equation for an elastic string under tension, where hinged

boundary conditions at the ends limit the solutions to standing waves in the form of integral numbers of loops.

Boundary conditions can be divided into two categories: First, setting the boundary point part or all the value of the dependent variable, or the relationship between the dependent variable to reflect the impact of the computational domain Ministry, which is referred to as the physical

boundary conditions (often referred to as the

boundary conditions); Second, in order to determine the additional mathematical conditions for the remainder of the boundary points given dependent variable, reflecting the impact of computational domain, which is referred to as the numerical

boundary conditions.