Unlike the method of fundamental solutions (MFS), the source points coincide with the collocation points on the physical boundary by using an inverse interpolation technique to regularize the singularity of the fundamental solution of the equation governing the problems of interest.
Subsequent reflection upon what I wrote in Desist, where I undertook to expose in a preliminary way some of the considerations I thought ought to govern the problem of deciding which, if any, new constitutional rules should be held cognizable in habeas proceedings, leads me to these additional observations.
Given the physical conditions governing the problem and the high viscosity of the fluids used in this study, all flow regimes are laminar.
The equations are made dimensionless for beams of circular cross-section and the number of parameters governing the problem is reduced to four (helix angle, helix index, Poisson coefficient, and axial strain).
Through appropriate simplifications, the coupled eighth order differential equations governing the problem are degenerated into a set of uncoupled fourth order equations.
Based on a certain equivalence between gradient and integral formulations, we solve the problem governing the electromechanical problem of CNTs regarded as cylinders subjected to electrostatic forces.
The nonlinear equilibrium equation that governs the problem considers extensional deformation of the beam.
Differential equations, governing the physics of the problems will be introduced and finally solved via analytical approaches.
In this paper, based on the governing differential equations of the problem of temperature field with phase change, the finite element formulae of this problem are obtained from Galerkin's method.
To derive the boundary value problem governing the dynamics of functionally graded curved parallelepipeds, three-dimensional elasticity equations are used together with extended Hamilton's principle.
