| 基于四次矩阵样条函数的二阶矩阵微分方程近似解 |
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| 引用本文： | 苏俊杰,郭清伟.基于四次矩阵样条函数的二阶矩阵微分方程近似解[J].佳木斯工学院学报,2010(2):265-267,275. |
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| 作者姓名： | 苏俊杰 郭清伟 |
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| 作者单位： | 合肥工业大学数学学院,安徽合肥230009 |
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| 基金项目： | 安徽省自然科学基金资助项目（070416227）. |
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| 摘 要： | 使用四次矩阵样条函数方法来解二阶矩阵微分方程．首先对矩阵微分方程的初始问题进行介绍；然后构造四次矩阵样条函数；并对矩阵样条函数方法进行算法描述；最后通过实例和误差分析来说明四次矩阵样条函数方法的有效性．
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| 关 键 词： | 二阶矩阵微分方程 三次矩阵样条函数 四次矩阵样条函数 逼近 |
Approximate Solution of Second--order Matrix Differential Equations by the Quartic Matrix Spline |
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| Authors: | SU Jun-jie GUO Qing-wei |
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| Affiliation: | (School of Mathematics, Hefei University of Technology, Hefei 230009, China) |
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| Abstract: | This paper deals with the construction of the approximate solution of second--order matrix differential equations, using the quartic matrix spline （QMS）. First, the matrix differential equations with the initial value was introduced. Next, the quartic matrix spline （QMS） was constructed. Then, the algorithm for the matrix spline was introduced. Last, the quartic marix spline（QMS） is tested very well through the example and the analysis of the error of approximation. |
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| Keywords: | first-order matrix linear differential equation cubic matrix spline quartic matrix spline approximation |
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