Sentence examples for using the perturbation method from inspiring English sources

Analytical solutions are obtained using the perturbation method.

The problem is solved using the perturbation method.

In this paper, a new one-port microstrip line permeameter using the perturbation method is presented.

The approximate solution of the nonlinear equation of motion is obtained using the perturbation method.

Results obtained by using the perturbation method are validated by numerical simulations.

The bearing dynamic force coefficients calculated using the perturbation method show clear correlation with given nominal clearance magnitudes.

Based on existing works, we use the perturbation method to determine the instability modes and their corresponding spacing.

In this paper, based on the known flexural stiffness for a bimodular thin plate in small-deflection bending, we establish the von Kármán equations with different moduli in tension and compression and then use the perturbation method and the displacement variation method to solve the problem, respectively.

In this paper, we use the perturbation method and the mixed monotone iterative technique to discuss the existence of periodic solutions for impulsive evolution equations in ordered Banach spaces.

The homotopy analysis method (HAM), [28 31] transforms a problem into an infinite number of linear problems without using the perturbation techniques, this method employs the concept of the homotopy from topology to generate a convergent series solution.

An 12-fold increase in computational speed over the standard solvers was achieved when selection rules were used with the perturbation method for the same atmosphere.