Sentence examples for using the superposition principle from inspiring English sources

Its analytical solution was obtained using the superposition principle and finite integral transfer method.

The Cattaneo Vernotte (C V) heat conduction model is solved using the superposition principle in conjunction with the solution structure theorems.

Using the superposition principle, the Butterworth-Van Dyke model and a mechanical lumped parameters model, the generated voltage and current are determined analytically.

The non-linear basic equations are reduced to the non-linear differential equation depending on the time using the superposition principle and Galerkin method.

Then, foregoing equations are solved using the Superposition principle, Galerkin and Semi-inverse methods and the frequency- amplitude relationship is found.

The detection analysis is based on a system of equations that solve for the propagation of a pressure pulse using the superposition principle and an approximation to the well function.

Local Fourier basis methodology fully uses the superposition principle to split the searched solution in a numerically computed part and an analytically computed part.

Random vibration for linear structures uses the superposition principle.

In the following lemma, we use the superposition principle to rewrite the solution (39) of (38) in a way convenient to discus the boundary conditions specified in (38).

We proposed an efficient method: BDSM-ET [3], which uses the superposition principle to construct a ROM with block-wise sparsity.

As equation (9) is linear, we can use the superposition principle for the solution, i.e., if (U_{n}) is a solution of equation (9) for (partial p/partial z=c_{n} exp inomega t)), then the complete solution of equation (9) for (partial p/partial z=operatorname{Re} (sum_{n=0}^{infty}c_{n} exp inomega t) )) is (U=sum_{n=0}^{infty}operatorname{Re} (U_{n})).