| 一类奇异微分代数系统的数值解 |
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| 引用本文： | 任磊,孙乐平.一类奇异微分代数系统的数值解[J].江西师范大学学报(自然科学版),2012,0(5):491-494. |
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| 作者姓名： | 任磊 孙乐平 |
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| 作者单位： | 商丘师范学院数学系, 河南 商丘 476000；上海师范大学数理学院, 上海 200234 |
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| 基金项目： | 国家自然科学基金(11071170)资助项目 |
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| 摘 要： | 首先利用级数解的Padé逼近算法,给出了一类奇异微分代数系统的数值解,然后运用4阶隐式Adams方法及经典RK方法给出的初值给出了此类系统的数值解,最后通过误差估计表明Padé逼近算法是可行的.
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| 关 键 词： | 奇异微分代数系统 Padé逼近 4阶隐式Adams方法 |
On the Numerical Solution of Differential Algebraic Systems with Singular Coefficients |
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| REN Lei,SUN Le-ping.On the Numerical Solution of Differential Algebraic Systems with Singular Coefficients[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,0(5):491-494. |
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| Authors: | REN Lei SUN Le-ping |
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| Institution: | 1.Department of Mathematics,Shangqiu Normal College,Shangqiu He’nan 476000,China;2.Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China) |
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| Abstract: | The numerical solution of differential algebraic systems with singular coefficients is given and implemented with the Padé approximation.Then the numerical solution is also given by four-order implicit Adams method. At last, Padé approximation is shown efficiently by the errors of the numerical experiment. |
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| Keywords: | differential algebraic systems with singular coefficients Padé approximation four-order implicit Adams method |
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