This paper deals with the numerical solution of boundary value problems of ordinary differential equations posed on infinite intervals. We cut the infinite interval at a finite, large enough point and insert additional, so-called asymptotic boundary conditions at the far (right) end and then solve the resulting two-point boundary value problem by an /1-stable symmetric collocation method. Probl...

this research develops thermo-elastic analysis of a functionally graded cylinder under thermo-mechanical loadings. heat conduction equation in cylindrical coordinate system is solved. thermal conductivity coefficient is graded along the radial direction. by considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can b...

Let $G$ be a group with identity $e$. $R$ $G$-graded commutative ring, $M$ graded $R$-module and $A\subseteq h(R)$ multiplicatively closed subset of $R$. In this paper, we introduce the concept $A$-2-absorbing submodules as generalization 2-absorbing $A$-prime $M.$ We investigate some properties class submodules.

This paper presents a comprehensive analysis of numerical dispersion of the recently developed unconditionally stable three-dimensional finite-difference time-domain (FDTD) method where the alternatingdirection-implicit technique is applied. The dispersion relation is derived analytically and the effects of spatial and temporal steps on the numerical dispersion are investigated. It is found tha...

We consider the problem of scattering of a time-harmonic acoustic incident plane wave by a sound soft convex polygon. Standard boundary or finite element methods, with a piecewise polynomial approximation space, have a computational cost that grows linearly with respect to the frequency of the incident wave. Recently ChandlerWilde and Langdon proposed a novel Galerkin boundary element method fo...

An algorithm for the generation of non-uniform unstructured grids on ellipsoidal geometries is described. This technique is designed to generate high quality triangular and polygonal meshes appropriate for general circulation modelling on the sphere, including applications to atmospheric and ocean simulation, and numerical weather predication. Using a recently developed Frontal-Delaunay-refinem...

Standard boundary or finite element methods for problems of high frequency acoustic scattering by convex polygons have a computational cost that grows in direct proportion to the frequency of the incident wave. Here we present a novel Galerkin boundary element method, using plane wave basis functions on a graded mesh, for which the number of degrees of freedom required to achieve a prescribed l...

Elements based on the exact stiffness matrix method contain an embedded analytical solution that can capture detailed local fields, enabling more efficient mesh independent finite element analysis. In the present study, this method was applied to adhesively bonded joints. The adherends were modeled as Euler-Bernoulli beams, and the adhesive layer was modeled as a bed of linear shear and normal ...

The aim of this study was to assess urinary bladder histopathology induced by the sling materials tension-free vaginal tape (TVT), vypro mesh, and intravaginal slingplasty (IVS). Thirty rats were studied: sham-operated controls, TVT, vypro, and IVS groups. After laparotomy, a 0.5- "e 1-cm piece of mesh was implanted on the anterior bladder wall. The bladder was examined histopathologically afte...

In this paper a mesh-free model of the functionally graded material (FGM) plate is presented.  The piezoelectric material as a sensor and actuator has been distributed on the top and bottom of the plate, respectively. The formulation of the problem is based on the classical laminated plate theory (CLPT) and the principle of virtual displacements. Moreover, the Particle Swarm optimization (PSO) ...