Sentence examples for using the initial value from inspiring English sources

The governing differential equations are solved exactly by using the initial value method.

The solution is obtained exactly by using the initial value method.

The governing differential equations for out-of-plane vibration of uniform circular beams are solved exactly by using the initial value method.

Moreover, it takes less time to achieve fairness by using the initial value α 0=0.45 derived from (17) as compared to the time required when α 0=0.

In order to compute the search direction, a preconditioned conjugate gradient method is adopted to compute the Newton system Then, we can obtain a feasible point by using the initial value and the search direction.

In addition, we investigated the effect of a longer follow-up period (i.e., until all women have died), a higher sensitivity (using the initial value for the threshold diameter) and full compliance (i.e., 100% attendance rates) on the predicted RR.

Using the initial values in Table 2, the parameters are estimated in the proposed modelling framework.

The variables are non-dimensionalized using the initial values (e.g., Eqs. (4) and (5)).

The initial values of the (sigma _{pj}^2 )s are determined using the initial values of (W_{ij} )s.

The variables are non-dimensionalized using the initial values of the dilute layer (e.g., Eqs. (4) and (5)).

In the meanwhile, the transient time function is constructed using the initial values of the output and their derivatives through the homogeneous technique.