Sentence examples for by the particular solution from inspiring English sources

Thus, the spreading of a small drop of ink is rather closely described by the particular solution, in which C is a constant determined by the total number of particles in the ink drop.

In recent years, the method has also been applied for the solution of Poisson equations by finding the particular solution to the nonhomogeneous terms.

We stress that by (3.8), the particular solution of (3.1) belongs to.

Again, by (3.9), the particular solution, (3.19). of (3.1) for satisfies.

This study removes the restriction for distributed excitation, that in particular has an exponential spatial dependence, by the inclusion of the particular solution in the set of basis functions.

By using boundary and continuity conditions the particular solution is obtained.

An onlooker bee selects the genes depending on their highest probability value, as roulette wheel selection strategy in genetic algorithm (GA) as follows: the possibility P i of selecting the particular solution (food source) by the onlooker bees is calculated using the following equation: (3) P i = fit i ∑ j = 1 SN fit i.

The gist of the new numerical method is to replace the coefficient matrices [A] and [B] in the system equation with the particular solution matrices which are formed of the particular solutions generated by fabricated sources.

The amplitude of complementary functions is determined from the strength of displacements, whereas the particular solutions are determined by the power source E ( t ) (see Equations 19 and 20).

represent the particular solutions of system (9).

It is proved that beyond the environmental advantages offered by this particular solution, underground limestone mining is also an attractive investment plan.