Sentence examples for be solved for vector from inspiring English sources

In (3.6), first we solve this system for vector α ˙ Open image in new window by using a variant of the Thomas algorithm only once at each time level t > 0, then we get a first-order system of ordinary differential equations which can be solved for vector α by using SSP-RK54 scheme, and consequently, the solution U N (x,t) is completely known.

which can be solved for the vector of Gegenbauer coefficients G, through pseudo-inversion of W G = W †. f ̂. (18).

One of the key numerical difficulties that is novel to 3D is that the transport equation that must be solved for the magnetic vector potential is only weakly hyperbolic.

and can be solved for the DOA vector q t,k).

This equation together with M algebraic equations derived by collocation method, generates a system of (M+1) equations which can be solved for the unknown vector C and initial condition w.

These equations can be solved for unknown coefficients of the vector C. A comparison between the exact and the approximate solutions is demonstrated in Figure 1.

These linear equations can be solved for unknown coefficients of the vector C. Consequently, u N ( x ) given in Eq. (23) can be calculated, which gives a solution of Eq. (19) with the initial conditions (20).

These linear equations can be solved for unknown coefficients of the vector C. Consequently, u ( x ) given in Eq. (27) can be calculated, which gives the solution of the initial value problem in Eqs.

These linear equations can be solved for unknown coefficients of the vector C. Consequently, u N (x) given in Equation 24 can be calculated, which gives a solution of Equation 20 with the initial conditions (Equation 21).

(33) Thus equation (33) generates a set of ((N+1)) linear equations which can be solved for the unknown components of the vector C, and hence the approximate spectral solution (u_{N}(x)) given in (29) can be obtained.

end{aligned} (31)Thus, Eq. (31) generates a set of ((N+1)) linear equations which can be solved for the unknown components of the vector ({varvec{C}}), and hence the approximate spectral solution (y_{N}(x)) given in (9) can be obtained.