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 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 …

The accuracy of global methods such as the differential quadrature (DQ) approach is usually
sensitive to the grid point distribution. This paper is to numerically study the effect of grid …

The numerical differentiation is often used when dealing with the differential equations.
Using the numerical differentiation, the differential equations can be transformed into …

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 …

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 …

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

This article points out that the differential quadrature (DQ) and differential cubature (DC)
methods, due to their global domain property, are more efficient for nonlinear problems than …

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 …

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 …