Sentence examples for utilizing the perturbation method from inspiring English sources

Utilizing the perturbation method, we derive soliton solutions of system (2) based on the Hirota bilinear form.

The solution very rapidly converges by utilizing the perturbation Laplace method.

We investigate motor and load speed feedback schemes by utilizing the singular perturbation method.

The closed-form solution of dynamic frequency and electrostatic voltage is obtained by utilizing the homotopy perturbation method (HPM).

Then, the perturbation method is utilized to solve the steady states whose local stability is studied by singularity theory.

By combining static analysis of the links through a multilayer piezoelectric beam model and kinematic analysis of the micro-manipulator, inverse kinematic has been solved utilizing the Taylor series expansion technique and the perturbation method.

Since it is beyond the scope of this manuscript to provide the theoretical background of the various SFEM algorithms, it is referred to e.g. [38,48] for the formulations of the considered and well known methods within this context, such as the Neumann Expansion method [52], the Perturbation method [16] and Spectral SFEM, which utilizes the Polynomial Chaos (P-C) Expansion formulation [11].

The perturbation method is employed.

Comparing our method with the perturbation method, our method is simpler than the perturbation method because of recursiveness.

The coupling of the perturbation method and the homotopy method is called the homotopy perturbation method which has eliminated limitations of the traditional perturbation method.

Analytical solutions are obtained using the perturbation method.