Sentence examples for solution has been verified from inspiring English sources

The solution has been verified by comparison with a finite-element analysis.

The convergence of solution has been verified and the parametric study of the model has been performed.

The analytical solution has been verified by comparing its predictions with results from a finite element method and from previously published data.

The quality of the numerical solution has been verified by means of a critical analysis of the different sources of errors, and validated through an extensive experimental comparison.

The derived fundamental solution has been verified mathematically by comparison with the previously presented corresponding fundamental solutions in three limiting cases including the steady-state thermo-hydro-mechanical, steady-state hydro-mechanical and elastostatic fundamental solutions.

This distinct behavior of the two types of solutions has been verified by numerical integrations of equation (24).

Moreover, the favourable effect of EMC on PF6− insertion into graphite in SL-based solutions has been verified by ex situ XRD, ex situ Raman, and electrochemical tests.

The effects of geometric imperfections on the trend of nonlinearity and on natural frequencies are fully discussed and the convergence of the numerical solutions has been verified.

All analytical solutions have been verified by direct numerical integration of the modal equations of motion.

The algebraic calculations have been executed by Mathematica and the following obtained solutions have been verified as well.

We observe that all travelling wave solutions have been verified the nonlinear partial differential equation by using Wolfram Mathematica 9.