Sentence examples for kind boundary from inspiring English sources

In the past, several approaches have been sought for solving fourth order BVPs with first kind boundary conditions.

The Laplace equation can be transformed to the first kind boundary integral equations (BIEs), and the corner and discontinuity singularity of Laplace's equation can be studied by the open arcs of the BIEs.

Albeit, we admit that the limited vertical and horizontal resolution, the assignment of uniform physical properties to most of the layers and the prescribed first kind boundary conditions may be sources of error in our results.

On one hand, equations of type (1.1) with boundary conditions of the second kind are transformable to coupled second order equations [6 12], such type of a reduction is not possible with first kind boundary conditions.

Apart from these, a quartic non-polynomial spline approach has been proposed by researchers for the solution of the fourth [13] and sixth order [14] ODEs with second kind boundary conditions.

We extend the spectral method developed by Ganesh and Hawkins [20] – for solving second kind boundary integral equations in electromagnetism – to linear elasticity for solving CFIEs that commonly involve integral operators with a strongly singular or hypersingular kernel.

The numerical solution for flow into lined tunnels without drainage layer using a transfer (Cauchy type, or 3rd-kind) boundary condition produces lower inflows compared to using a specified head (Dirichlet type, or 1st-kind) boundary condition.

We also discuss second-kind boundary integral equations based on single layer potentials formed with the mollified and corrected fundamental solution, which form a useful toolkit for solving general elliptic boundary value problems in general domains.

We use non-local slender body theory to compute the fluid structure interactions of the fibers and a second-kind boundary integral formulation for other rigid bodies and the confining boundary.

Smith and Varzi define this kind of boundaries "fiat boundaries", that is boundaries that are the results of a conceptual delimitation made by an external subject.

"The more government especially federal government is seen as stepping over some kind of boundary, whether it's an objective legal boundary or an individual rights boundary, the more likely it is to push people in that direction," she said.