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

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。

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.