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| Characteristic of the differential quadrature method and its improvement |
| Received:September 03, 2014 Revised:December 30, 2014 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201506009 |
| KeyWord:differential quadrature method numerical stability order Runge-Kutta method V-transformation Padéapproximations |
| Author | Institution |
| 汪芳宗 |
三峡大学 电气与新能源学院, 宜昌 |
| 廖小兵 |
三峡大学 电气与新能源学院, 宜昌 |
| 谢雄 |
三峡大学 电气与新能源学院, 宜昌 |
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| Abstract: |
| The differential quadrature method has been widely used in scientific and engineering computation.However,for the basic characteristics of time domain differential quadrature method,such as numerical stability and calculation accuracy or order,are still lack of systematic analysis conclusions.According to the principle of differential quadrature method,it has been derived and proved that the weight coefficient matrix of the differential quadrature method meets the important V -transformation feature.Through the equivalence of differential quadrature method and implicit Runge-Kutta method,it has been proved that the differential quadrature method is A-stable and s-stage s-order method.On this basis,in order to further improve the accuracy of the time domain differential quadrature method,a class of improved differential quadrature method of s-stage 2s-order has been derived using undetermined coefficients method and Padéapproximations.The numerical results show that the proposed differential quadrature method is more precise than the traditional differential quadrature method. |
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