Sentence examples for by the theoretical solution from inspiring English sources

The solution was first validated by the theoretical solution and experiments of this problem.

The good performance of the model is demonstrated by comparisons with the theoretical solution of an idealized dam-break flow over a frictionless flat rectangular channel.

The accuracy of the method is checked by comparison with the theoretical solution corresponding to a circular compressible forced jet in the regime of linear growth.

The theoretical solution is validated by comparing the theoretically obtained results with those obtained independently using nonlinear finite element simulations utilizing the commercial FEA software Abaqus.

Based on a general fact that the capsules are randomly dispersed in the matrix and the discrete cracks occur independently in matrix, we present the probability of capsules hit by the cracks to develop the theoretical solution on dosage of capsules for self-healing technology via embedded capsules in two- and three-dimensional self-healing system.

The calculation of the theoretical solution scattering of different crystal structures was carried out using CRYSOL [37].

The theoretical model is validated by comparing the theoretical solutions with the experimental data from the relative literature.

The Young's modulus and the Poisson's ratio are determined by fitting the theoretical solutions into the displacement field obtained experimentally.

Second, based on the one-dimensional DDA model, a further study on the size choice of a sub block for stress wave propagation is developed, which considers the homogeneous rock and the joint rock mass, and suggested values of block element ratio for both P-wave incidence and S-wave incidence are obtained by comparing with the theoretical solutions.

Experimentally observed removal of the dye pollutant in the plug flow annular reactor agreed well with the theoretical solutions modeled by the developed photoreactor design equation.

The theoretical solutions are verified by numerical computations.