Sentence examples for using the variational iteration from inspiring English sources

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

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

For an alternative approach to differential-difference equations using the variational iteration method, see, e.g., [21].

Shou and He [12] used the VIM to solve various kinds of heat-like and wave-like equations, and it was claimed that by using the variational iteration method, demerits of complex calculation of Adomian polynomials were omitted [12].

Dehghan and Shakeri [15] were first to apply exponential transformation to the Lane-Emden equation in order to address the difficulty of a singular point at x = 0 and solve the resulting nonsingular problem using the variational iteration method.

After using the variational iteration method [45] for (4.2), (4.3), the approximate solutions for α 1 and β 1 can be illustrated as Figure 1 and Figure 2, respectively.

For this reason, we use the variational iteration method to solve this equation.

Siddiqi and Iftikhar [29] used the variational iteration method to approximate the solution of seventh order boundary value problems in terms of a convergent series.

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

The variational iteration algorithm used in this paper is the variational iteration algorithm-I; there are also variational iteration algorithm-II and variational iteration algorithm-III [24], which can also be used for the present paper.

This method was proposed by Khan and Wu to avoid calculation of Adomian polynomial and the use of correction function of the variational iteration method; the reference of this work is in [ 11].