The solution of the equations system (4) for initial (5) and boundary conditions
(6) - (8) is found out by the difference method of spatial characteristics.
Interestingly, the size of the delaminated region had negligible effect on the average natural frequency for each mode shape for both of the clamped boundary conditions
. The difference in natural frequency for each mode number is very small.
And the relevant development is based on the mathematical calibration of various forms of partial differential equation with the first boundary condition
called the Dirichlet condition.
A [gamma]-graphyne membrane with clamped-free-free-free boundary condition
was considered in the comparison.
(2) The boundary conditions
of the seepage field were modified according to the vacuum pressure distribution law.
Wu, "Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
," The Journal of Nonlinear Science and its Applications, vol.
This is reasonable, with the boundary conditions
satisfied, the concentration decreases away from the source faster in the x direction rather than in the y direction.
According to the collected water-quality data, functions that satisfy boundary conditions
must be implemented.
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, "Fractional boundary value problems with integral boundary conditions
," Applicable Analysis: An International Journal, vol.
Special artificial and transparent boundary conditions
were developed and investigated in many papers, see [1,2,4,5,6,9].
Commonly available boundary conditions
in FDTD computation are Dirichlet, periodic, and absorbing boundary conditions