| 正交多项式拟合在初值问题数值解中的应用 |
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| 引用本文： | 陈桂兴.正交多项式拟合在初值问题数值解中的应用[J].武汉大学学报(工学版),1993(5). |
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| 作者姓名： | 陈桂兴 |
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| 作者单位： | 武汉水利电力大学基础科学系 |
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| 摘 要： | 给出了离散化正交多项式递推公式在等距节点情况下的简化形式。利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。许多已有的著名公式均可由此法导出。
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| 关 键 词： | 初值问题 正交多项式 最小二乘拟合 |
Application of Orthogonal Polynomial Fitting to Numerical Solution of Initial Value Problems |
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| Chen Guixing.Application of Orthogonal Polynomial Fitting to Numerical Solution of Initial Value Problems[J].Engineering Journal of Wuhan University,1993(5). |
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| Authors: | Chen Guixing |
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| Abstract: | In this paper a simplified recursion formula of discretization orthogonal polynomial in the case of uniform step is presented. By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established. It is shown that a variety of famous formulae existed in this field can be derived from this method. |
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| Keywords: | initial value problems orthogonal polynomials least square fitting |
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