Sentence examples for by the analytical solution from inspiring English sources

This method modified for rarefied flow has been validated by the analytical solution in this paper.

The induction of Lorentz forces by the gradient travelling magnetic field was proved by the analytical solution.

The threshold voltage distribution is obtained by the analytical solution of the convolution integral fitting the CAST transconductance.

The delayed percolation after the completion of a rainfall event can be captured by the analytical solution.

Results obtained from the MLPG method are found to agree well with those by the analytical solution.

In addition, the numerical saturation flood front does not exhibit the same piston-like displacement that is shown by the analytical solution.

The accuracy of the method was established by comparing the analytical solution with the numerical solution obtained by a shooting method together with Runge-Kutta-Fehlberg and Newton-Raphson schemes.

It is also shown that by using the analytical solution 'affected thermal well bore radius' can be estimated.

Then their characteristics are determined by using the analytical solution together with the experimental data.

This figure was obtained by inverting the analytical solution for single-phase flow in a multi-composite reservoir using Stefhest algorithm (Stehfest 1970).

The dispersion coefficient was calculated by fitting the analytical solution of FADE to the measured data at different transport scales.