Sentence examples for utilizing the finite difference from inspiring English sources

At the second step, the two-dimensional transient heat transfer problem is transformed into a one-dimensional problem based on which the optimal thicknesses of the multiple insulation layers are obtained utilizing the finite difference formulation.

First, the coupled hygrothermal field along the radius of a rotating circular disk is achieved by solving the coupled hygrothermal equations, and then the dynamic equilibrium is solved by utilizing the finite difference method.

We utilized the finite difference code E3D to synthesize SGFs.

Utilizing the finite-difference time-domain (FDTD) method simulation, transmission properties of normally incident plane wave through symmetric and asymmetric cruciform metallic coaxial aperture arrays (CAAs) are investigated.

In this paper the influence of the incident light's polarization direction and the arrays' period on the transmission through the rectangular hole arrays immersed in a metallic film is studied by utilizing the finite-difference time-domain method.

Two-dimensional simulations utilizing the finite-difference time-domain algorithm are used to demonstrate an apparent optical bistability and significant switching mechanisms (in enabled-low condition: T ON/OFF) =21.9 and in enabled-high condition: T ON/OFF) =24.9) of the signal light arisen by altering the pump-light intensity.

A computer model, utilizing the finite element method, was used.

The approach utilizes the Mimetic Finite Difference (MFD) method.

In this study, hence, the finite difference method is utilized as a tool for numerical analysis.

The numerical methods utilized are the finite element method with first-order elements, and the finite difference method with the entire truncated solution domain discretized by equally spaced nodes.

The adaptive random search algorithm and its modification coupled with penalty function′s approach, and the finite difference methods with cubic spline approximation are utilized by "OPT-PROx" package (http://tomakechoice.com/optprox/index.html).html