Sentence examples for numerical equations are from inspiring English sources

The numerical equations are solved iteratively until convergence was attained which generally happened after three complete 24-h cycles.

Numerical equations are used to extract the effective material properties for the hexagonal RVE under axial as well as lateral loading conditions.

The energy consumption, in terms of proteins per cycle, is (56) Cost = β 0 + β 1 + (β 1 τ 1 + β 0 τ 2 ) / τ tot ≈ β 1 + 2 β 0 + K / τ 2. The analytical and numerical equations are provided as R code as supplementary material released under the GNU Lesser General Public License version 3 [see Additional file 1].

The integrated variational formulation is given, based on which the numerical equation is derived by using the mode summation approach.

Based on the numerical results, empirical equations are formulated for engineering application.

For the sake of numerical accuracy, momentum equations are discretized by employing the general solution for the two-dimensional convection diffusion reaction model equation.

Based on the closed-form numerical algorithm, the equations are solved and the recursive scheme is proved to be efficient and converged in a few iterations for the cases examined.

Finally, based on the numerical results, empirical equations are proposed to predict increment of ultimate load capacities of the square reinforced concrete plates strengthened by fiber-reinforced plastics, which would be useful for practical engineering applications.

Numerical solutions of these equations are obtained by shooting method.

For practical flows of engineering interest, numerical solutions of these equations are required.

By means of the variational iteration method the numerical solution of biharmonic equations are obtained.