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 …

In this paper, the differential quadrature method is used to solve first‐order initial value
problems. The initial condition is given at the beginning of a time interval. The time derivative …

In this paper, the differential quadrature method is used to solve dynamic problems
governed by second-order ordinary differential equations in time. The Legendre, Radau …

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 …

A generalized and more complete methodology for treating boundary conditions in the
Differential Quadrature Method (DQM) is presented. This improved approach eliminates the …

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 …

It is shown in this paper that the global method of generalized differential quadrature (GDQ)
is equivalent to the highest order finite difference scheme, which is the extension of low …

The generalized differential quadrature rule (GDQR) proposed recently by the authors is
applied here to solve initial-value differential equations of the 2nd to 4th order. Differential …

In this paper, unconditionally stable higher‐order accurate time step integration algorithms
suitable for linear first‐order differential equations based on the weighted residual method …

The differential quadrature method is a numerical solution technique for initial and/or
boundary problems. It was developed by the late Richard Bellman and his associates in the …