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On the equivalence of generalized differential quadrature and highest order finite difference scheme

Authors
Journal
Computer Methods in Applied Mechanics and Engineering
0045-7825
Publisher
Elsevier
Publication Date
Volume
155
Identifiers
DOI: 10.1016/s0045-7825(97)00150-3

Abstract

Abstract 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 order, finite difference schemes. The effect of grid point distribution on the accuracy of numerical results is studied by two numerical examples. The results showed that the ability to alter the grid point distribution in the GDQ method is an important feature to obtain accurate numerical solutions in certain problems.

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