Sentence examples for is provided to validate from inspiring English sources

Illustrating example is provided to validate our results.

In addition, an example is provided to validate our result.

A sensitivity analysis is provided to validate the model.

Also, a numerical analysis is provided to validate the proposed model and the results obtained.

A comparison between numerical results and experimental data is provided to validate the proposed models.

An example is provided to validate the presented closed-form solution against a numerical method solution.

Some numerical examples are provided to validate the theoretical results.

Finally, numerical results are provided to validate our proposed scheme.

Various numerical results are provided to validate the proposed formulation.

Accurate numerical results are provided to validate the proposed algorithm.

Various numerical experiments are provided to validate the new schemes.