| 用正交多项式求线性微分方程的数值解 |
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| 引用本文： | 章自振. 用正交多项式求线性微分方程的数值解[J]. 河南科技大学学报(自然科学版), 1991, 0(3) |
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| 作者姓名： | 章自振 |
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| 作者单位： | 洛阳工学院图书馆 |
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| 摘 要： | 本文介绍移位的Legendre多项式,并用它表示任意的绝对可积函数,通过加权残值法,求得常系数线性非齐次微分方程的数值解,方法简单,精确度较好。
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| 关 键 词： | 正交多项式 常微分方程 加权剩余法 数值解 |
Numerical Solution of Linear Differential Equation with Orthogonal Polynomial |
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| Zhang Zizhen. Numerical Solution of Linear Differential Equation with Orthogonal Polynomial[J]. Journal of Henan University of Science & Technology:Natural Science, 1991, 0(3) |
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| Authors: | Zhang Zizhen |
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| Abstract: | In this paper, the shifted legendre polynomial for expressing any absolutely in tegrable function is introduced. The solution of the linear inhomogeneous differential equation with invariable coefficient is obtained with the method of weighted residuals. The computation algorithm is simple, straight forward and the computation results are accurate. |
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| Keywords: | Orthogonal polynomial ordinary differential equations weighted residual method numerical solution. |
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