Sentence examples for an exact solution is from inspiring English sources

Hence it is a suitable approach for the analysis of engineering problems where an exact solution is difficult to obtain.

For the first time, an exact solution is developed to analyse electro-mechanical twisting moments in smart composite structures.

Furthermore, a shape optimization example with an exact solution is presented which can serve as general benchmark for shape optimization methods.

Because an exact solution is not physical possible, the genetic algorithm is the best available tool for the design of such a grating.

These two sets of coupled equations are solved numerically for, and giving good agreement with, a case where an exact solution is available.

The output of each algorithm is compared to an analytical solution in a special case of the Smoluchowski equation for which an exact solution is known.

Very interesting and extensive results were reported demonstrating a rich variety of solutions available, including the existence of multiple solutions, and an exact solution was also presented for β = − 1. Fang and Zhang [15] studied a special case of the Falkner-Skan equation with β = − 1 in the presence of wall suction and injection.

This paper reviews the existing solutions of this equation pair, and points out that a general and exact solution is uniquely direct, simple, and decoupled.

A three-dimensional exact solution is presented for free and forced vibrations of simply supported functionally graded rectangular plates.

A Ritz-type exact solution is further implemented to yield the structural response of thick composite and sandwich composite plates.

A representation of the exact solution is presented for a far field equation of the first order, governing the radial component of velocity.