Sentence examples for condition and boundary from inspiring English sources

with initial condition and boundary conditions (2a).

In order to solve the equation of the quanto option pricing model, the initial condition and boundary condition meeting (1) will be given in this section.

Taking the region 4 for example, with closed reservoir, dimensionless initial condition and boundary conditions are as follows: Initial condition is m_{text{D}} left( {0, y} right) = 0. (28).

Using Laplace transform, combining with the initial condition and boundary conditions, the mathematical model of linear flow in the region 4 and the region 3 can be expressed as left{ {begin{array}{*{20}c} {frac{{partial^{2} bar{m}_{{n{text{D}}}} }}{{partial y_{text{D}}^{2} }} - frac{2}{{eta_{text{D}} }}bar{m}_{{n{text{D}}}} = 0} {left.

Using Laplace transform, combining with the initial condition and boundary conditions, the mathematical model of linear flow in region 4 is left{ {begin{array}{*{20}c} {frac{{partial^{2} overline{{m_{{ 4 {text{D}}}} }} }}{{partial y_{text{D}}^{2} }} - frac{2}{{eta_{text{D}} }}overline{{m_{{ 4 {text{D}}}} }} = 0} {left.

The initial condition and boundary conditions were summarized as (X(t=0)=10^{-5} quad text {and} quad P_{L}(t=0)=P_{L}^{out}=10^{6}, mathrm {[Pa]}) on Ω. Fig. 2 Geometry and boundary condition for the H 2 injection benchmark q w ·ν=q h ·ν=0 on Γ imp.

Equations (5 8) are pre-conditions and boundary conditions.

The initial conditions and boundary conditions are t = 0 :w=dot{w}=phi =dot{phi}=0.

(2.1 - 2.5 2.1 - 2.5urse to be supplemented wish approfriate initial courseions and boundary conditoons on the outer beundary ∂Ω.

The governing equations, initial conditions and boundary conditions are derived by utilizing the Hamilton's principle.

The effect of various fixing conditions and boundary conditions on the coupling characteristics are also presented.