Sentence examples for using the variational procedure from inspiring English sources

By using the variational procedure, within the effective-mass and parabolic-band approximations, the effects of both electric field and hydrostatic pressure on the shallow-donor-impurity related polarizability and photoionization cross-section in GaAs Ga1−xAlxAs double asymmetric quantum wells are presented.

The desired solutions are obtained by using the variational operation.

Finally, the solutions are obtained by using the variational operation.

Using the variational principle, the governing equations of the magnetoelectroelastic plate are derived.

The oscillating frequencies in vertical and horizontal directions are obtained approximately using the variational iteration method.

In this study, delay differential equations are investigated using the variational iteration method.

Furthermore, the Hamiltonian structure of the integrable hierarchy is produced by using the variational identity again.

To carry out this calculation, we first located current plateaus using the Variational Baysean Gaussian Mixture Model, VBGMM.

The variational procedure has been used to obtain the five equations which govern the behavior of the heated orthotropic sandwich shell for the stability.

A method based on the variational procedure in conjunction with a finite difference method is used to examine the free vibration characteristics.

As a routine, the variational procedure is made firstly.