Research Article

Characteristics of the Differential Quadrature Method and Its Improvement

Table 1

Computational results of the displacement ( = 60 s).

= 60 s

Exact solution2.2643865525.469005157

s = 5
h = 1s
Traditional DQM-Chebyshev2.2539753835.491424542
Improved DQM-Chebyshev2.2644062705.468965760
Traditional DQM-Chebyshev-Gauss-Lobatto2.2766136355.439926064
Improved DQM-Chebyshev-Gauss-Lobatto2.2644062705.468965760
Traditional DQM-Uniform2.3425136165.278336836
Improved DQM-Uniform2.2644062705.468965760

s = 10
h = 2s
Traditional DQM-Chebyshev2.2643833325.469011768
Improved DQM-Chebyshev2.2643865525.469005157
Traditional DQM-Chebyshev-Gauss-Lobatto2.2643994795.468978613
Improved DQM-Chebyshev-Gauss-Lobatto2.2643865525.469005157
Traditional DQM-Uniform2.2650878145.467565205
Improved DQM-Uniform2.2643865615.469005173