Sentence examples for by numerical example with from inspiring English sources

Finally, the proposed design method and theoretical results are verified by numerical example with MATLAB programming.

Considerations are illustrated by numerical example.

Finally, the solution procedure is illustrated by numerical example.

Finally, the applications of the methodology are shown by numerical examples and compared with numerical results from other models and experiment data in the literature.

The accuracy and reliability of the current solutions are validated by numerical examples and comparison with the results available in the literature.

To ascertain this, the numerical results were calculated for a numerical example with different physical parameters.

(see Table  6 for a numerical example with a factor of 2).

The correctness of the formulas is illustrated by numerical examples of a cantilever beam with attached viscous damper.

The efficiency of the method is demonstrated by numerical examples modeling damped vibrations of a structure with nonproportional damping, a gyroscopic eigenproblem, and a rational eigenproblem governing free vibrations of a fluid solid structure.

The excellent accuracy and reliability of the current solutions are demonstrated by numerical examples and comparison of the present results with those available in the literature, and numerous new results for thick FG plates with elastic boundary conditions are presented.

Comparisons of the GMCLP and CMCLP with the CGMCLP by numerical examples show that the CGMCLP covers more demands.