Sentence examples for using an integral equation from inspiring English sources

The frequencies are obtained by using an integral equation technique.

By using an integral equation and functional equations of the generating functions and their partial differential equations (PDEs), we give a recurrence relation for the Apostol-Daehee polynomials.

We are now ready to prove the existence of a solution to the above scattering problem by using an integral equation approaching.

In this paper, the free vibration analysis of isotropic conical shell panel with all edges clamped carried out by using an integral equation technique is described.

The pressure distribution is obtained using an integral equation derived from the pressure Poisson equation, which was first developed for a single body.

The nonlinear analytical solution of this SEMPS model of crack in an infinite MEE medium is obtained using an integral equation approach.

The second scheme uses an integral equation based Krylov deferred correction (KDC) method and a fast elliptic solver (FES) for the resulting elliptic equations.

The algorithm uses an integral equation approach, combined with the fast multipole method and recursive compression to resolve stress concentrations also very close to grain boundary junctions.

Contrary to exact methods, instead of solving rigorously the EM problem, only first harmonic terms of currents are here considered using an integral formulation of Maxwell's equations.

The latter approach used an integral constitutive equation of the K-BKZ type [12, 13], within a Molecular Stress Function (MSF) approach [14], to describe the dynamics of the polymer.

However, the FW H equation can be used to derive an integral equation for finding scattered pressure fields.