Sentence examples for using the numerical method from inspiring English sources

The results obtained with analytical method are validated with the results obtained by using the numerical method.

Then this system is solved using the numerical method for the solution of such equations developed recently by Katsikadelis.

The unfolding result is found to be in good agreement with the result obtained using the numerical method.

By using the numerical method, the dispersion profile of the DC-PCF is optimized in terms of three air-hole diameters to achieve desirable negative dispersion.

The first Tensegrity dome Georgia Dome is analyzed as a prototype through a non-linear software using the numerical method presented in the paper.

However, the inline force time series reproduced using the numerical method are not as consistent with the measurements as the free surface elevation time series.

Due to the existence of Riemann-Liouville integral operator in the definition of FDE in the Caputo sense [17], direct analytical solution for FDE is too rare, and so using the numerical methods is inevitable.

In addition, the good agreement between experiments and numerical simulations gives confidence to use the numerical method for more complex geometries in the future.

Few studies have used the numerical method.

Therefore, people usually simplified this modeling process then used the numerical method to generate the approximate solutions.

Therefore, we used the numerical method only if the solution of the LLS analysis has negative values.