Sentence examples for use the third order from inspiring English sources

In this paper, we use the third order shear deformation theory of Reddy [Reddy JN. Mechanics of laminated composite plates and shells.

This paper aims firstly to highlight the possibility of recovering a message included in a chaotic continuous time delay system, secondly to show that it is possible to use the third order sliding mode in order to recover directly all the states and the unknown input (message), thirdly to illustrate the robustness of the proposed observer with respect to a noisy signal.

We use the third order explicit TVD Runge-Kutta method in time direction [13].

We use the third order Runge-Kutta method [13] and the time-space restriction is taken as (Delta t= mathrm{CFL}, h^{3}).

In order to solve system (4.1), we use the third order Radau IIA method where textstylebegin{array}c@c@ c& A hline & b^{T} end{array}displaystyle = textstylebegin{array}c@c@{quad }c@ frac{1}{3}& frac{5}{12} & -frac{1}{12} 1& frac{1}{4}& frac{1}{4} hline & frac{3}{4}& frac{1}{4} end{array}displaystyle. (4.2).

Newton optimization methods use the second order gradient information to calculate the step direction.

Instead we decided to use the first order differencing to eliminate the trend component.

Here we use the second order derivatives as a smoothing weighting factor.

The equilibrium and stability equations are derived using the third order shear deformation plate theory.

Figure 3 provides the plots using the third order technique.

This numerical artifact disappears if the space step is appropriately reduced or we use the second-order numerical scheme.