Sentence examples for using a numerical solution from inspiring English sources

The investigation is performed by using a numerical solution approach.

The influence of partial saturation of the mineral barrier is investigated using a numerical solution to the Richards equation for unsaturated flow.

These solutions allow for the direct calculation of optimal parameter values without the need to perform an exhaustive parametric study using a numerical solution.

The interfacial rate expression above is determined as free from diffusional contributions by using a numerical solution to model mass transfer with interfacial reaction in the LJRR.

The intrinsic rate equations for steam-methane reforming (RF) and shift (SF) reaction were determined by the calculation of mass and heat balances considering interphase and intraphase diffusions using a numerical solution of the non-linear two-point boundary value problem.

Using a numerical solution of the Richards' equation in a stochastic framework, the ensemble characteristics and flow dynamics were studied for drying and wetting processes observed during a time interval of ten days when a series of relatively intense rainfall events occurred.

Fluid flow calculation in PFC2D uses a numerical solution of the Navier Stokes equations.

The algorithm can be used for a numerical solution of the problem.

In further part of the study, estimated data by the ANN was used in a numerical solution of batch reactor modeling equation to obtain time courses data.

But considering the fact that this paper focuses on the investigation of loading variable factors to eigenbeams, we provide an alternative solution using a numerical method as follows.

Using a numerical method, we get the solution which is a global minimizer to problem (5.3) where is a jointly convex.