The nonlinear analysis of nanoelectromechanical systems using the differential quadrature model is investigated. The differential quadrature method is applied to overcome the difficulty of determining the nonlinear equation of motion. The characteristics of various combinations of curved electrodes and cantilever beams are considered to optimize the design. Various nano-actuators, such as the c...

Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods. The derived difference schemes enjoy the same stability and accuracy properties with correspondent differential quadrature methods but have a simpler form of c...

A formulation for the analysis of nonlinear vibrations Variable Stiffness (VS) plates is presented. Third-order Shear Deformation Theory (TSDT) employed in conjunction with a mixed variational formulation. The solution sought via Ritz approximation spatial dependency, while time dependency handled Differential Quadrature (DQ) and Harmonic Balance (HB) methods. main advantage framework reduced c...

Abstract In this paper, we study the numerical solutions of Fisher’s equation and to a nonlinear diffusion equation of the Fisher type by differential quadrature method. Fisher's equation combines diffusion with logistic nonlinearity. The equation occurs in logistic population growth models, neurophysiology and nuclear reactions. Therefore, numerical study of these types of equations is very im...

Objective...........................................................................................................................1 Harmonic Oscillators........................................................................................................1 Tuned Circuit' Oscillator...................................................................................................2 Experiment ...

In geodesy and geophysics, spherical-harmonic techniques are popular for modelling to7 pography and potential fields with ever-increasing spatial resolution. For ultra-high degree spherical 8 harmonic modelling, i.e. degree 10000 or more, classical algorithms need to be extended to avoid 9 underor overflow problems associated with the computation of Associated Legendre Functions 10 (ALFs). In t...

in this article we have considered a non-standard finite difference method for the solution of second order  fredholm integro differential equation type initial value problems. the non-standard finite difference method and the composite trapezoidal quadrature method is used to transform the fredholm integro-differential equation into a system of equations. we have also developed a numerical met...

In this paper, a hybrid technique of differential quadrature method and Runge-Kutta fourth order method is employed to analyze reaction-diffusion problems. The obtained results are compared with the available analytical ones. Further, a parametric study is introduced to investigate the influence of reaction and diffusion characteristics on behavior of the obtained results. Index Term-Reaction-d...