Sentence examples for findings analytical from inspiring English sources

Our numerical results for free-suspended droplets are in excellent agreement with experimental findings, analytical predictions and earlier computational results at both subcritical and supercritical conditions, and establish the properties of our fully-implicit spectral boundary element algorithm.

Based on these findings, analytical and empirical models were developed to describe the heat-transfer process using oil-heated tools, including the time period of the transient heat transfer and the maximum temperature of the tools.

Lost circulation is governed by numerous factors that make finding analytical solution with acceptable accuracy very difficult or impossible.

Besides, there are several important areas for future work, such as finding analytical derivations for the mixing rate and the connectivity fluctuation parameter.

It may be concluded that DTM is very powerful and efficient in finding analytical as well as numerical solutions for wide classes of differential equations.

In this letter, we will consider variational iteration method (VIM) and Padé approximant, for finding analytical solutions of three-dimensional viscous flow near an infinite rotating disk.

In the cognitive component, the PBL algorithm computes the optimal output weights with least computational effort by finding analytical minima of the nonlinear energy function.

This is the first study to report the physical integration of TS into the PM equation and finding analytical solution of the physical (gB) and physiological conductances (gS).

The Lie algebra was shown to be a very powerful and efficient approach in finding analytical solutions for numerous physical systems but has not been widely used in the context of biological populations due to insufficient symmetries.

Mathematicians and physicists have been created numerous articles about fractional differential equations FDEs) for finding analytical and numerical methods, including Adomian Decomposition Method [5], Variational Iteration Method [6, 7], Homotopy perturbation Method [8] and homotopy analysis method [9].

In such a case formulating the hazard as a function of all the covariates and further finding analytical formulations for their time-dependencies can be very challenging and time-consuming.