Sentence examples for utilizing the galerkin method from inspiring English sources

Utilizing the Galerkin method, the equations of motion are obtained in matrix form.

An approximate analytical solution is obtained for the nonlinear frequency of the nanobeam by utilizing the Galerkin method and He's variational method.

Utilizing the Galerkin's method considering multiple scales method provides the primary mode of nanoplate oscillations.

These equations were then solved numerically utilizing the Galerkin finite element method and the curvilinear integral taken along the central line of the curvilinear beam.

They established several results concerning the global existence, uniqueness and finite time blow-up of weak solutions with negative initial energy by utilizing the Galerkin and the concavity method.

We employ the Galerkin method to construct a global solution.

We will apply the Galerkin method to obtain the existence of solutions.

In order to prove the existence of solutions, we employ the Galerkin method and compactness arguments.

The Galerkin method is utilized in order to discretize the nonlinear partial differential governing equation of the forced vibration.

The Galerkin method is utilized to solve the inhomogeneous dynamic equations with the eigenfunctions of the homogeneous cylinder serving as trial functions.

A variational approach is utilized to derive the governing differential equations, and the Galerkin method is implemented to cast the problem into a manageable set of algebraic equations.