Sentence examples for construct analytical from inspiring English sources

By combining linearization of the governing equation with the harmonic balance method, we construct analytical approximations to the oscillation frequencies and periodic solutions for the oscillator.

Belic et al. [4] obtained exact spatiotemporal periodic travelling wave solutions to the generalized (3 + 1)–dimensional nonlinear Schrodinger equation and used these solutions to construct analytical light bullet solutions.

To achieve this goal, the method of multiple scales is utilized to construct analytical solutions describing the amplitude and stability of the intra- and inter-well dynamics of the harvester.

Thereafter, an improved perturbation technique is put to use to construct analytical expression for the nonlocal strain gradient nonlinear frequency associated with the large-amplitude vibration of functionally graded porous micro/nano-plates reinforced with GPLs.

In conclusion, we have used similarity transformation to construct analytical spatiotemporal soliton solutions of the generalized ((3+1))-dimensional NLS equation with varying coefficients, and also investigated the propagation characteristics of the spatiotemporal solitons which can be dramatically affected by the complicated potential.

Where possible, it may be useful or necessary to combine data from multiple care systems (particularly in large populations) to construct analytical cohorts that are as representative as possible of the region under study (24, 25).

A modified eigenfunction expansion techniques is presented for constructing analytical approximate solutions of the nonlinear oscillatory equations.

It can be said that the method of Lie symmetry groups is the most important approach for constructing analytical solutions of nonlinear partial differential equations.

It includes a mechanical approach for constructing the analytical solutions of PDEs and Wu-Ritt's characteristic set method and other computational tools for constructing analytical solutions for PDEs.

We have constructed analytical self-similar wave solutions for quadratic cubic Nonlinear Schrödinger equation (QC-NLSE) by means of similarity transformation method.

The constructed analytical tool showed a good linearity in the range 0.2 2 μM for caffeic acid and a limit of detection of 0.09 μM.