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| The formulation of the boundary value methods via differential quadrature |
| Received:June 15, 2016 Revised:September 11, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201705010 |
| KeyWord:linear multistep algorithem boundary value method differential quadrature method grids numerical stability |
| Author | Institution |
| 汪芳宗 |
三峡大学 电气与新能源学院, 宜昌 |
| 王永 |
三峡大学 电气与新能源学院, 宜昌 |
| 杨萌 |
三峡大学 电气与新能源学院, 宜昌 |
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| Abstract: |
| This paper mainly explores the relationship between boundary value method and differential quadrature method.By using the classical differential quadrature formulae,this paper systematically constructs three different types of boundary value methods.When selecting the uniform grid points,the boundary value methods derived from this paper are consistent with the existing boundary value methods.The obtained results reveal the intrinsic relationship between the differential quadrature methods and boundary value methods,and meanwhile arrive at the relation between linear multistep formulae and single-step multi-stage methods. |