Sentence examples for by solving some numerical from inspiring English sources

The iterative methods are followed by convergence theorems and the presented algorithms are tested by solving some numerical examples.

Computational results are presented by solving some numerical examples, extracted from the existing literature, with the linearized formulation.

The accuracy and generality of the proposed scheme are demonstrated by solving some numerical examples.

The validity and effectiveness of the method are demonstrated by solving five numerical examples.

The adaptability of the proposed theory is demonstrated by solving several numerical examples and validated with available results.

Finally, we illustrate the viability of the theoretical framework and the effectiveness of our algorithms by solving several numerical problems in two and three dimensions.

The performance of the proposed recursive scheme have been examined by solving four numerical examples.

In "Discussion of results", the proposed methodology is illustrated by solving a numerical example, and finally in "Conclusions" conclusions is presented.

Finally, by solving numerical examples from the literature the suggested approach is compared with two recently developed approaches.

The proposal is supported by solving numerical examples and simulation results show the effectiveness of the proposed method in designing robust PID controllers.

Also, applicability of the method is demonstrated by solving numerical examples for different values of homogeneity variation parameter, aspect ratio, thickness to length ratio, foundation parameters, various types of boundary conditions and different numbers of point support.