| Hessenberg index-2型微分代数方程的数值解 |
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| 引用本文： | 任 磊,孙乐平,徐丽娟.Hessenberg index-2型微分代数方程的数值解[J].上海师范大学学报(自然科学版),2012,41(3):231-236. |
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| 作者姓名： | 任 磊 孙乐平 徐丽娟 |
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| 作者单位： | 1. 商丘师范学院数学系,商丘,476000
2. 上海师范大学数理学院,上海,200234 |
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| 基金项目： | Supported in part by the NSF of China under Grant(1107170) |
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| 摘 要： | 首先讨论了Hessenbergindex-2型微分代数方程的数值解，这类微分代数方程的数值解通过MATLAB的代数求解系统可以拓展到任意阶；然后对给定的Hessenberg系统，通过用级数的数值计算方法得到合理的逼近．
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| 关 键 词： | 微分代数方程 任意阶 index-2 Hessenberg系统 |
On numerical solutions of differential-algebraic equations with Hessenberg index-2 |
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| REN Lei
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SUN Le-ping
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XU Li-juan.On numerical solutions of differential-algebraic equations with Hessenberg index-2[J].Journal of Shanghai Normal University(Natural Sciences),2012,41(3):231-236. |
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| Authors: | REN Lei SUN Le-ping XU Li-juan |
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| Institution: | 1.Department of Mathematics,Shangqiu Normal University,Shangqiu 476000,China;2.College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | Numerical solutions of differential-algebraic equations(DAEs) with Hessenberg index-2 are studied.The solution of a differential-algebraic equation can be expanded up to arbitrary order using MATLAB computer algebra systems.We calculate the power series of the given Hessenberg system,which give an appropriate approximant for solving differential-algebraic equations numerically. |
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| Keywords: | differential-algebraic equations arbitrary order index-2 Hessenberg system |
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