Sentence examples for examples solved by from inspiring English sources

Finally, some significant examples solved by this prototype are presented.

A number of examples solved by using triangular and bilinear elements are presented to show that the method can convect contact discontinuities without error.

It was shown by way of many examples––solved by numerous mathematical, as well as other heuristic approaches in the literature that the purposed methodology is quite efficient and capable of finding lighter and reasonable structural designs than that reported in the literature.

Numerical example solved by using Matlab software.

We coded the proposed GA solution method by MATLAB 2010 and applied the program to the same numerical example solved by the LINGO Software using the same desktop PC mentioned above and discussed in "Solving the model with LINGO software".

The new scheme has been rigorously tested against a simple theoretical solution to Darcy's law as well as a more complicated example solved by numerical software packages with anisotropic flow capabilities.

Meanwhile, in order to demonstrate the effectiveness of the proposed method, the results of numerical example solved by PSO-SA are compared with a branch-and-bound method and other heuristic algorithms.

Several examples, solved and graphed by Wolfram Mathematica, are given to illustrate the main concepts of the weighted exponential stability.

In addition, to validate the model and show its efficiency and performance, several examples are solved by branch and bound (B&B) method.

Two examples are solved by an analytic method.

Some random numerical examples are solved by the LINGO software and the algorithms.