Sentence examples for using an approximate solution from inspiring English sources

We determine what shock waves can subsequently occur using an approximate solution obtained by Whitham's nonlinearization technique.

Using an approximate solution method to the heat flow problem we obtain an expression for the thermal conductivity of the fluid which shows much better agreement with experiment.

The main difference between the new scheme and the conventional one is that the former uses the exact mathematical solution to the thermal model on which the needle probe measurement theory is based, while the latter uses an approximate solution that is valid only for large times.

The properties of the equilibrium problem are examined using an approximate linear solution and an exact, non-linear solution.

The equilibrium of the cable buoy system subject to drag is evaluated using an approximate closed-form solution whose range of validity is confirmed through comparison with numerical solutions.

The solutions derived here can serve as benchmark solutions for certain classes of anisotropic micropolar medium, and also can be used as an approximate solution for a micropolar medium with general material properties without any constraint conditions.

Using an approximate, first-order analytical solution to the nonlinear nonautonomous ordinary differential equations, periodic orbits can be constructed that are displaced above the plane of the restricted three-body system.

In this approach, the VTCR is used to find an approximate solution of a medium-frequency acoustic problem using only a few degrees of freedom (DOFs).

The exact solution was used to create an approximate solution directly linking past variable stiffness approximations to the exact solution in a systematic way.

Dual decomposition is used to obtain an approximate solution.

The upper bound theorem has been used to obtain an approximate solution.