| 一类常微分矩阵方程的ADI数值解法 |
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| 引用本文： | 吕克璞 赵金保. 一类常微分矩阵方程的ADI数值解法[J]. 西北师范大学学报(自然科学版), 1990, 0(1): 5-8 |
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| 作者姓名： | 吕克璞 赵金保 |
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| 作者单位： | 西北师范大学物理系，西北师范大学物理系，西北师范大学物理系 |
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| 摘 要： | 本文对于在谱方法求解二维发展方程的数值解以及在常微分方程离散变量方法的累积舍入误差分析中出现的一类常微分矩阵方程作了讨论,给出了一种分数步长 ADI 差分求解格式,并且对误差进行了分析,最后给出了数值算例.
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| 关 键 词： | 常微分阵方程 分数步长 AID分格式 |
An ADI Numerical Scheme for One Kind of Ordinary Differential Matrix Equations |
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| L. An ADI Numerical Scheme for One Kind of Ordinary Differential Matrix Equations[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 1990, 0(1): 5-8 |
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| Authors: | L |
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| Affiliation: | L(?) Kepu Zhao Jinbao Sun Jianan (Department of Physics) |
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| Abstract: | In this paper,One kind of ordinary differential equations is discussed, which arises from the numerical scheme of spectral methods in two dimensional developing equations and the accumulative rounding error analysis of discrete variable methods in ordinary differential equation.Then,a fractional step ADI difference scheme is proposed to solve the ODE.The error analysis of this scheme and the numerical example have been given,too. |
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| Keywords: | ordinary differential matrix equation fractional step ADI difference scheme |
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