Sentence examples for integrating the equation from inspiring English sources

Similarly, for, by delta integrating the equation of problems (1.6) on, we have (2.31).

Firstly, by delta integrating the equation of the problems (1.6) on, we have (2.23).

Proof On the one hand, integrating the equation − u ‴ ( t ) = f ( t ), t ∈ [ 0, 1 ].

where λ ≠ 0, α ∈ R. Substituting u ( x, t ) = w ( z ), z = x − c t, into Eq. (Oskolkov) and integrating the equation, we have λ w ″ − α w ′ − c w + 1 2 w 2 = 0.

By integrating the Equation 12 for T ≤ t < < α − 1 ω M − 1, we find the velocity of the Bloch point at the end of the magnetic field pulse: v t) = π2M S ΛΔH0T/mBP.

Single-mode and two-mode harmonic balance (HB) approximations, and second order perturbation-multiple time scales (MMS) with reconstitution version I and version II approximations to the steady state amplitude frequency response curves are compared, for the casem=1 with each other, and with those obtained by numerically integrating the equation of motion.

Let us start integrating the equations in Eq. (39).

A method of second-order accuracy is described for integrating the equations of ideal compressible flow.

DAN3D is a 3D numerical model that uses the continuous Lagrangian approach for integrating the equations of Saint-Venant with depth.

This work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in electric and magnetic fields.

A numerical method for integrating the equations describing a dynamically coupled system made of a fluid and cosmic-rays is developed.