a method has been presented for finding the solution surface of the npde: u  c , bounded by a general space curve. the method is based on the geometric characteristics of the surface, and is called the “cone-slot method”. it has been shown that such a surface can be obtained by movement of a cone inside the slot formed by the boundary space curve. an algorithm has been suggested on the basis ...

The present investigation is to study the surface waves propagation with imperfect boundary between an isotropic elastic layer of finite thickness and a homogenous isotropic thermodiffusive elastic half- space with rotation in the context of Green-Lindsay (G-L model) theory. The secular equation for surface waves in compact form is derived after developing the mathematical model. The phase velo...

The polygon search problem is the problem of searching a mobile intruder in a polygonal region by a mobile searcher with various visibility. The k-searcher is a mobile guard whose visibility is limited to k rays emanating from his position, where the directions of the rays can be changed continuously with bounded angular rotation speed. It has been conjectured (see [9]) that the 2-searcher has ...

The 1-searcher is a mobile guard whose visibility is limited to a ray emanating from his position, where the direction of the ray can be changed continuously with bounded angular rotation speed. Given a polygonal region P with a speciied boundary point d, is it possible for a 1-searcher to eventually see a mobile intruder that is arbitrarily faster than the searcher within P, before the intrude...

The 1-searcher is a mobile guard whose visibility is limited to a ray emanating from his position, where the direction of the ray can be changed continuously with bounded angular rotation speed. Given a polygonal region P with a specified boundary point d, is it possible for a 1-searcher to eventually see a mobile intruder that is arbitrarily faster than the searcher within P, before the intrud...

A mathematical model is developed for the steady-state electric current flow through in a homogeneous isotropic conductor whose shape body of rotation. The rotation considered bounded by coordinate surfaces an orthogonal curvilinear system. equations Maxwell’s theory solid are used to formulate corresponding boundary value problem. studied conduction problem axisymmetric. determination steady m...

In this paper we study of collocation method with Radial Basis Function to solve one dimensional time dependent Schrodinger equation in an unbounded domain. To this end, we introduce artificial boundaries and reduce the original problem to an initial boundary value problem in a bounded domain with transparent boundary conditions that involves half order fractional derivative in t. Then in three...

This paper aims to develop a boundary control solution for a single-link gantry robot manipulator with one axis of rotation. The control procedure is considered with link’s transverse vibrations while system undergoes rigid body nonlinear large rotation and translation. Initially, based on Hamilton principle, governing equations of hybrid motions as a set of partial differential equations...