Sentence examples for by solving this boundary from inspiring English sources

By solving this boundary value problem by the homotopy perturbation method, we obtain an approximate or exact solution u ( x, y ).

The movements of the boundary nodes are determined by solving this auxiliary mesh.

Solutions are obtained in closed form using Navier's technique by solving the boundary value problem.

Reference results for added masses are derived by solving the boundary value problem for small motions of inviscid fluid using the finite element method.

The elastic deformation of the R-o-F under concentrated loading is analytically obtained by solving the boundary value problem (BVP).

The pressure coefficient of the RAE2822 wing with given constant lift coefficient is obtained by solving the three-dimensional Navier-Stokes equation numerically, and then the mean flow is calculated by solving the boundary layer (BL) equation with spectral method.

After introducing a pair of differential equations that are expected to be valid for the optimized design, the grid thickness is optimized by solving the boundary value problem of coupled differential equations.

To gain insight into the observed behavior, the eigenmodes of the heptamer structure were obtained by solving the boundary integral eigenvalue equations for the charge distribution, as described in Section 2.4.

The need for expansion of the basic flow profiles in truncated Taylor series is circumvented by solving the boundary-layer equations directly on the same (complex) grid used for the instability calculations.

The reference LSGF is obtained approximately by solving the boundary-value problem of a super-cell of lattice subject to a unit point force and under a boundary condition given by the reference CGF.

We begin by solving the boundary-value problem with θobj corresponding to θp = 0 (i.e., the whisker is barely touching the pole).