N阶导数值计算的外推算法研究

N-Order Derivative Extrapolation Study

研究了函数N阶导数的渐进展开,在此基础上提出了基于里查森外推计算方法,并实现了N阶导数的数值计算,实验结果表明提出的算法具有有效性.

This paper studies asymptotic expansions of the function of N-order derivative, on this basis the method is proposed based on Richardson extrapolation, and realized N-order derivative of the numerical calculation, experimental results show that the proposed algorithm has better performance.