Nowadays, most of the ordinary differential equations (ODEs) can be solved by modelica‐
based approaches, such as Matlab/Simulink, Dymola and LabView, which use simulation …

In Part 1 of this paper, the sampling grid points for the differential quadrature method to give
unconditionally stable higher‐order accurate time step integration algorithms are proposed …

Various methods to apply multiple boundary conditions in the differential quadrature method
are summarized and discussed. Two of them are new approaches appearing for the first …

Most ordinary differential equations (ODEs) can be solved using simulation technique (ST),
which, however, requires the enforcement of conditions at any time domain, this limitation is …

A Differential Quadrature proposed here can be used to solve boundary-value and initial-
value differential equations with a linear or nonlinear nature. Unlike the classic Differential …

Modeling-based simulation techniques and numerical methods such as Differential
Quadrature Method and Integral Quadrature Method are widely used for solution of ordinary …

In the harmonic differential quadrature method, truncated Fourier series comprising the
trigonometric functions are used to approximate the solutions. The generalized Lagrange …

This paper presents a first endeavour to exploit the generalized differential quadrature
method as an accurate, efficient and convenient numerical technique for vibration analysis …

Numerical solution procedures occupy an extremely important part in many areas of science
and engineering. The subjects in these fields are of continued research interest. A variety of …

The spline-based differential quadrature method (SDQM) is applied to the solution of
nonlinear initial-value problems. Explicit expressions of weighting coefficients for …