Sentence examples for using the boundary condition from inspiring English sources

Using the boundary condition (7), we have (frac{u^{2}}{2} |_{partialOmega}=0).

Integrating Eq. (25) using the boundary condition (29), we get (A=0).

In the H-wave case, on using the boundary condition (1) we obtain a hyper-singular SIE for the surface current J t on the reflector.

Using the boundary condition, and integrating (20) on the domain ( 0, 2 π ), one can easily check the conservation property of Eq. (20).

Natural convection heat transfer for laminar air flow in a vertical circular pipe by using the boundary condition of constant wall heat flux in the ranges of RaL from 1.1 × 109 to 4.7 × 109 has been experimentally investigated.

Using the boundary condition (u_{0}=u(0) ), we can calculate (u_{1},u_{2}, ldots, u_{n} ) and then get the approximate solution (u(t)approx u_{mathrm{BFT}}(t) ) for (1.3).

Using the boundary conditions, we have t 2 ∈ ( 0, 1 ).

Using the boundary conditions (38) and (39), Eqs.

Using the boundary conditions of (2.1) in (2.4), we have.

On the other hand, using the boundary conditions (A.2) again, we have (A8).

The optimization is carried out using the boundary conditions stated in Table 4.