Sentence examples for using the Galerkin approximation from inspiring English sources

By using the Galerkin approximation method, eigenvalues of the whole system are determined.

Proof of existence and uniqueness of the solutions of the closed-loop control system is carried out by using the Galerkin approximation method.

In an earlier paper, the occurrence of chaos in the forced beam was proved by using the Galerkin approximation, the averaging method and Melnikov's technique.

By choosing a simple example of the three-parameter viscoelastic model and using the Galerkin approximation, the governing equation is reduced to a third order non-linear ordinary differential equation.

hold for every t ≥ τ and some constant C > 0, independent of the initial time τ ∈ R. Proof Firstly, using the Galerkin approximation method, we can deduce the existence of a global solution for (4.1), here we omit the details.

Then we prove the global existence of solutions for problem (1.1 - 1.3 1.1 - 1.3 the Galerkin approximation technique and the theory of a family of potential wells in Section 3.

In particular, the next step is to use the Galerkin approximations in Sect.

To solve of this problem is used new approximation functions and basic equations are solved using the Galerkin method for the two cases of mixed boundary conditions.

The existence of the generalized solution by using the Galerkin method is established in the fourth section, and for this, we construct an approximation solution of the problem (1.1 - 1.4 1.1 - 1.4

The problem is solved using the Galerkin method.

The proof is based using the standard Galerkin approximation and the elliptic regularity for transmission problem given in [11].