Sentence examples for solution is demonstrated by from inspiring English sources

Efficiency of the obtained solution is demonstrated by examples.

In the algorithm proposed here, each feasible solution is demonstrated by the mode string.

The validity of the present solution is demonstrated by comparison with solutions available in the literature.

The applicability of the analytical solution is demonstrated by comparison with non-isothermal simulation results from the reservoir simulator TOUGH2.

The usefulness of the analytical solution is demonstrated by satisfactory matches with several pulse-decay test data sets.

Whenever it is possible, the excellent convergence of the solution is demonstrated by comparing results with known exact eigenvalues.

The accuracy and convergence of the proposed modified Fourier series solution are demonstrated by the comprehensive numerical examples.

The use of these solutions is demonstrated by two examples.

The accuracy of the present solutions is demonstrated by comparison with solutions available in the literature.

The accuracy of the analytical solutions is demonstrated by comparing them to direct numerical integration solutions.

The accuracy of the HBM solutions is demonstrated by comparing them to direct numerical integration solutions.