Sentence examples for with approximate results from inspiring English sources

Natural frequencies obtained from the exact analytical method are compared with approximate results.

The results are compared with exact solutions (where available), and with approximate results from other numerical methods.

The exact results for the beam deflection are compared with approximate results that are available in the literature.

The comparison of the approximate results with exact ones shows that the first-order approximation is only applicable to the case where the failure surface is "far" from the origin, while the suggested second-order approximation yields quite accurate results even if the failure surface is "close" to the origin.

To the best of our knowledge, PDC is a novel energy efficient approach which provides a high precision of the approximate results with bounded error.

The presented procedure greatly simplifies design due to reduced dimensions of subsystems, while providing good approximate results with the accuracy of O, where ϵ is a small weak coupling parameter.

Then, MEP is further employed to compare the approximate results with exact results.

Firstly, previous buckling solutions are only approximate results with simplified assumptions.

Based on the numerical experiment and sensitivity analysis carried out, we overall conclude that the comparative analysis of approximate results with exact results has demonstrated that the results obtained by MEP are reasonably good.

The main target of this paper is to solve the nonlinear differential equation of beam elastic deformation with different conditions of supporting and loading and then to determine the maximum beam deflection by applying the HPM and to compare the approximate results with FDM and exact solution.

Furthermore, from Figures3 and4, it can be easily observed that not only the simulation results of network reliability match very well with the theoretical results but also the approximate results match well with the theoretical results.