Institutional Repository of Astronomical Application Research Laboratory
| 推荐数值求解y″＝f(x,y)的几组积分系数 | |
| Alternative Title | Recommendation of a Few Groups Numerical Integral Coefficients for Solving the Differential Equations Y''=F(X,Y) |
徐继鸿 ; 张阿丽
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| 1994 | |
| Source Publication | 天文学报
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| ISSN | 0001-5245 |
| Volume | 35Issue:1Pages:84-92 |
| Contribution Rank | 1 |
| Abstract | 为求解特殊二阶常微分方程ｙ＇＇＝ｆ（ｘ，ｙ）的初值问题，本文采用最大阶算子方法构造了一类线性多步积分公式，并与Ｃｏｗｅｌｌ方法的同阶公式作了大量的平等计算，通过对不同轨道类型、不同步长、不同积分间隔时的计算结果的全面仔细地分析比较，我们从八阶、十阶、十二阶、十四阶中各自选定一组积分系数，推荐给同行计算使用，结果表明，采用本文推荐的积分方法计算天体轨道是有益的，因为它的积分精度以及积分过程中误差累积的方式都十分明显地好于同阶的Cowell方法。 |
| Other Abstract | In this paper,a series of linear multistep integration form: ulas are constrtcted for solving the initial value problem of the particular second order ordinary differential equations Y"=F(X,Y) by the method cf Maximum Orde: Operator. The best four groups integration formulas are selected respectiveiy from 8th-order,10th-order, 12th-order,14th-order. The sithois integrated respectively the same orbit of celestial body, using the same crder trmula of our method and the Cowell Method. We compared and analysisad their calculation results for the different step length, or for the different primary orbit elements, or for the different integration interval. We found integration accuracy of our method is higher obviously than the same order formulas of Cowell Method. Therefore it is suggested that our method might adapt to compute the orbit of celestial body. |
| Keyword | 天体轨道 线性多步法 伪根选取 |
| Subject Area | 应用天文及其它 |
| URL | 查看原文 |
| Indexed By | CSCD |
| Language | 中文 |
| CSCD ID | CSCD:248401 |
| Citation statistics |
Cited Times:4[CSCD]
[CSCD Record]
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| Document Type | 期刊论文 |
| Identifier | http://ir.xao.ac.cn/handle/45760611-7/177 |
| Collection | 已撤销研究室/团组_应用天文研究室 其它 |
| Affiliation | 中国科学院乌鲁木齐天文站，新疆830011 |
| First Author Affilication | Xinjiang Astronomical Observatory, Chinese Academy of Sciences |
| Recommended Citation GB/T 7714 | 徐继鸿,张阿丽. 推荐数值求解y″＝f(x,y)的几组积分系数[J]. 天文学报,1994,35(1):84-92. |
| APA | 徐继鸿,&张阿丽.(1994).推荐数值求解y″＝f(x,y)的几组积分系数.天文学报,35(1),84-92. |
| MLA | 徐继鸿,et al."推荐数值求解y″＝f(x,y)的几组积分系数".天文学报 35.1(1994):84-92. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| 推荐数值求解y～″＝fx_y的几组积分系（488KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
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