Sentence examples for by the numerical solution from inspiring English sources

Finally these obtained results are supported by the numerical solution of the nonlinear problem.

The particles are allowed to swell by the numerical solution of the differential equations of densification.

To this end, the original discrete operators are modified in a mass-conserving fashion so as to enforce the algebraic constraints to be satisfied by the numerical solution.

The crystal size distribution from a batch cooling crystallizer is predicted by the numerical solution of a mathematical model which uses empirical kinetics of nucleation and crystal growth.

The plasma motion above an active region and post flare loops appearance are shown by the numerical solution of 2D MHD equations for compressible plasma with dissipative terms.

The results of nonlinear stability analysis are compared with the exact results obtained by the numerical solution of the Boussinesq equation.

Spectral convergence is demonstrated by comparing the numerical solution with a known exact analytic solution.

Test cases of dam breaking with and without obstacles are first conducted to verify the developed code by comparing the numerical solution against experimental data.

Finally, by analyzing the numerical solution and experimental data, the numerical boundary element method and design guideline in this paper can be validated to be effective and accurate.

The performance of the methods is demonstrated by comparing the numerical solution results with the (manufactured) analytical solution of the problem.

Free vibration analysis of laminated conical shells is presented by using the numerical solution of governing differential equations of motion based on transverse shear deformation theory.