Sentence examples for using the numerical methods from inspiring English sources

However, since measurements are generally expensive and time-consuming, it is of interest to be able to predict melting point and the component of multi-component systems by using the numerical methods.

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.

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.

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

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.

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.

The optimized curvature of a porous plate and the distribution of circular holes in the baffle were determined using the numerical method.

Meanwhile, the solutions for viscoelastic spherical stress waves are calculated by using the numerical method of the inverse Laplace transform in the case of cavity explosion.

In this study, the hydraulic behavior of a pin-hole drain is investigated using the numerical method, and the applicability of the pin-hole method is evaluated by performing a numerical parametric study for various design parameters.