The phrase "applied to the differential" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or engineering, particularly when discussing how a certain concept or operation is relevant to a differential equation or differential calculus.
Example: "The new method is applied to the differential to improve the accuracy of the results."
Alternatives: "pertaining to the differential" or "related to the differential".
Numerical procedures are applied to the differential equations to predict frequencies, amplitudes and waveforms of the oscillations.
Therefore, the CNTs-PAM modified electrode was applied to the differential pulse voltammetric determination of UA in the presence of excessive level of AA.
In [4 6], many inequalities for the classical operators applied to the differential forms have been studied.
(24) For our numerical calculations we have, however, instead used Runge Kutta or Euler methods applied to the differential form of the delay neural field equation.
Finite differences technique is applied to the differential equations (Eq. 1 for each ionic species), and the resulting set of discretized equations is solved using the Crank Nicholson method (Press et al. 1985).
The solution scheme can be classified according to the numerical method applied to the differential equations (implicit or explicit) and the strategy to solve the differential and algebraic sets of equations (alternating or simultaneous).
Diffusion-weighted MRI may also prove to be a useful method to apply to the differential diagnosis of compression fractures.
Diffusion-weighted MRI may also prove to be a useful method to apply to the differential diagnosis of compression fractures [ 39].
Then the DQM is applied to the nonlinear differential equations of drillstring sections and those defining the edge and interface boundary conditions.
The method is directly applied to the partial differential equation (1).
Similar derivation applied to the other differential equation in the model BVP produces the following equations: (7) (8).
