Sentence examples for by numerical methods for from inspiring English sources

The resulting mathematical model is solved by numerical methods for various conditions.

This results in the need to be able to predict the aerodynamic effects of porous segments of the surface by numerical methods for aerodynamic design of wings, taking into account porosity and roughness as a function of Reynolds number.

System (2) can be solved by other numerical methods for fractional differential equations [26 29].

Large computational efforts are required for calculating by numerical methods the natural frequencies of such plates with different volume fractions of containing materials.

In this case, it is very meaningful to give the high precision numerical solutions for this kind of problem by numerical methods.

We estimated parameters depending on multiple line means (for example, the group MA male mean) by numerical methods.

Thus, the only way to proceed is by numerical methods.

For general models Q, the solution of this one-dimensional maximization problem cannot be given in closed form, but is easily obtained by numerical methods.

It is known that delay differential equations can be solved by applying standard numerical methods for ordinary differential equations without the presence of delay.

All splitting procedures are tested by using six different numerical methods for solving differential equations.

In this paper, some innovative and powerful deterministic approaches developed by the authors to construct numerical methods for solving the mentioned problems are surveyed.