Sentence examples for deriving the solution from inspiring English sources

Rayleigh-Ritz displacements are used for deriving the solution equations.

This approach has a clear advantage in deriving the solution to the heterogeneous problem in terms of the solution for the corresponding homogeneous problem.

Both methods are not exactly straightforward, so, if celestial mechanics is a new subject for you, I would suggest to start deriving the solution for the orbital elements of a simpler problem, the so-called two-body problem (i.e., like the case of the Earth orbiting the Sun, without anyother planets).

The Fourier expansion can be used for deriving the solution of Eqs.

The exponent p is unknown at this point and its values will fall out in the process of deriving the solution of this equation.

Chouhan et al. [28] presented the method for deriving the solution of the generalized forms of fractional differential equation and Volterra-type differential equation.

The Hankel transform in a cylindrical co-ordinate system is employed for deriving the solutions.

For multilayered plates, we derive the solution in terms of the propagator matrices.

In 1898 G. Kirsch derived the solution for the stress distribution around a circular hole in a much larger plate under remotely uniform tensile stress.

For multilayered hybrid plates, we derive the solution in terms of the propagator matrices.

The transfer matrix method derives the solution by the combination of the solution of each segment, which is expressed in terms of the Laplace transform parameter.