Sentence examples for model equations using from inspiring English sources

We have solved the model equations using the spectral relaxation method, and to benchmark our solutions, we compared our results with some limiting cases from the literature.

Then, a comparison is made between this solution and a numerical solution of the PaSR model equations using a Monte-Carlo technique.

The mathematical model was based on the solution of the fluid flow (Reynolds averaged) and turbulence model equations using a non-orthogonal three-dimensional grid system.

An analysis of the model equations using the method of moments leads to equations for the mean pulse positions, velocities and rates of spread for long times.

The proposed model equations using response surface methodology show good agreement with the experimental data, with correlation coefficients (R2) of 0.98 for zinc recovery and 0.97 for iron recovery.

Experimentation based on statistical design has been carried out and model equations using factorial design of experiments have been developed for the above mentioned quantities for a promoted gas solid fluidized bed.

Finally, model graphs of each response were generated to interpret and evaluate the model equations used.

An overriding issue in the reviews is the "phenomenological" nature of the model equations used in this study.

Besides the computation of H, no further modifications in the standard mixed model equations used in animal breeding have been needed [ 4].

We have presented methodology to construct the relationship matrix and its inverse for honey bee populations, which is required in the mixed model equations used for the estimation of breeding values and genetic parameters.

The proposed model equation using RSM has shown good agreement with the experimental data, with a correlation coefficient (R2) of 0.95.