| 一种新的微分方程数值解法及在Poynting效应中的应用 |
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| 引用本文： | 杨小远.一种新的微分方程数值解法及在Poynting效应中的应用[J].中国石油大学学报(自然科学版),1995(6). |
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| 作者姓名： | 杨小远 |
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| 作者单位： | 北京石油大学基础科学系 |
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| 摘 要： | 提出了一种新的计算约束条件下常微分方程组的数值解法及与之对应的高精度预估校正算法。此方法比以往的方法大大提高了运行速度，具有很高的精度，从拖带坐标方法和ＳＲ分解定理出发，导出了弹性杆大扭转的基本方程，并应用新算法进行了计算，所得结论与实际结果极其吻合。
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| 关 键 词： | 微分方程 校正 算法分析 |
A NEW NUMERICAL METHOD AND ITS APPLICATION IN POYNTING EFFECT |
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| Yanq Xiaoyuan.A NEW NUMERICAL METHOD AND ITS APPLICATION IN POYNTING EFFECT[J].Journal of China University of Petroleum,1995(6). |
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| Authors: | Yanq Xiaoyuan |
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| Abstract: | A new numerical method and its predlctor and corrector algorithm are developedfor ordinary differential equations with constrained conditions. By using co-movingcoordinates methods and the SR decomposition thcorem, the governing differential equationsare established for an elastic rod under the condition of a large torsion. Numerical solutionsare given by employing the algorithm. |
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| Keywords: | Differential equation Correction Algorithm analysis |
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