| 第一类Shifted Chebyshev多项式用于求解线性微分方程组 |
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| 引用本文： | 章自振.第一类Shifted Chebyshev多项式用于求解线性微分方程组[J].河南科技大学学报(自然科学版),1992(1). |
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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： | 本文介绍第一类Shifted Chebyshev多项式及其积分运算矩阵。并用它表示试函数,通过运算矩阵,将线性微分方程组归结为线性代数方程组,求出微分方程组的数值解。该方法简单,精确度较好。
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| 关 键 词： | Chebyshev多项式 线性徽分方程组 数值解 运算矩阵 |
The Shifted Chebyshev Polynomials of First Kind for Solving Linear Differential System |
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| Zhang Zizhen,.The Shifted Chebyshev Polynomials of First Kind for Solving Linear Differential System[J].Journal of Henan University of Science & Technology:Natural Science,1992(1). |
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| Authors: | Zhang Zizhen |
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| Abstract: | In this paper, the shifted chebyshev polynomials of the first kind are introduced and its op- erational matrix for the integration is developed. The candidate functions are expressed by shifted chebyshev series of the first kind. The linear differential system is reduced to solving algebraic equa- tions by using the operational matrix. The algebraic equations are solved to evaluate the numerical solution of the linear differential system. The computational results are satisfied. |
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| Keywords: | : chebyshev polynomial operational matrix linear differential system numerical solution |
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