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

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 …

One of the important issues in the implementation of the differential quadrature method is the
imposition of the given boundary conditions. There may be multiple boundary conditions …

This work extends the application of the generalized differential quadrature rule (GDQR) to
an eighth‐order boundary‐value differential equation with four boundary conditions at …

A triangular differential quadrature method (TDQM) is proposed in the paper. The partial
derivative of a function with respect to space variables at a given point is approximated by a …

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 …

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 …

A generalized differential quadrature rule (GDQR) has been proposed as a general
numerical method to solve high‐order differential equations. Applications are given to sixth …

This paper extends the application of the differential quadrature method (DQM) to high order
(≥ 3rd) ordinary differential equations with the boundary conditions specified at multiple …

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 …