Sentence examples for the integrating factor from inspiring English sources

The integrating factor (IF) method for numerical integration of stiff nonlinear PDEs has the disadvantage of producing large error coefficients when the linear term has large norm.

Firstly, we have characterized the second-order nonlinear ordinary differential equations, and this characterization is given by the coefficients of the equation and also determines the first integral, the λ-symmetry, and the integrating factor.

(4.31) The integrating factor can be deduced from the first integral by differentiating it with respect to ẋ.

where the factor 1 P V Open image in new window would represent the integrating factor of the infinitesimal work δW HP that makes the integration function an exact differential function.

It follows by the application of the integrating factor method to the initial value problem (15 - 16).

For third-order nilpotent critical points of a planar dynamical system, the analytic center problem was completely solved by using the integrating factor method [18].

Muriel and Romeo [11] prove that the equations of the form (1.1) have the first integrals of the form (1.2), λ-symmetries, and the integrating factors (mu=A t,x)).

Here, statistics is mentioned as one of the integrating factors.

Firstly, we examine the first integrals in the form (A t,x dot{x}+B t,x)), the corresponding exact solutions and the integrating factors.

The inverse integrating factor method for the planar systems with a third-order nilpotent critical point was also discussed in [14, 15].

We also check our computation by the inverse integrating factor method.