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第一类Shifted Chebyshev多项式用于求解线性微分方程组
The Shifted Chebyshev Polynomials of First Kind for Solving Linear Differential System
【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。
【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.
【关键词】 Chebyshev多项式;
线性徽分方程组;
数值解;
运算矩阵;
【Key words】 : chebyshev polynomial; operational matrix; linear differential system; numerical solution.;
【Key words】 : chebyshev polynomial; operational matrix; linear differential system; numerical solution.;
- 【文献出处】 洛阳工学院学报 ,Journal of Luoyang Institute of Technology , 编辑部邮箱 ,1992年01期
- 【被引频次】2
- 【下载频次】48