Sentence examples for by using the analytical from inspiring English sources

The required training and test data sets have been generated by using the analytical solutions of commonly-used reservoir models.

Finally, the minimum weight designs are presented by using the analytical formulae.

Then their characteristics are determined by using the analytical solution together with the experimental data.

Besides, the effects of adhesive parameters on failure modes and stress distribution are further studied by using the analytical model.

Exact solution of resulting nonlinear integro-differential equations are obtained by using the analytical methods of homotopy and Adomian.

The inner thermal barrier cylinder is solved by the finite difference method, and the outer cylindrical shell is solved by using the analytical method.

Sensitivity analysis on the thermal impact of certain major control factors for design purposes, such as cluster deepening, albedo modification, and orientation in the presence of shade trees were obtained by simulations using the analytical model.

The results obtained by using the exact analytical solution have been successfully verified against those obtained by using the existing approximate analytical solutions for a homogeneous rectangular slab.

Anodic dissolution of Mo in sulfuric acid solution was investigated by using the developed analytical method.

However, the exact peeling stress distributions could not be obtained by using the existing analytical and numerical models.

As a result, the author expects that a designer is to be free to design more accurate springs by using the global analytical formulas presented in this study.