1、引言    1
2.2泰勒公式    2
1、屈曲杆的大挠度公式    9
2、单摆的运动周期    11
5、结论    18
6、致谢    19
7、参考文献    20 源`自*六)维[论*文'网www.lwfree.cn
8、附录    21
Abstract
The Pade approximation is a special type of function value for the rational fraction approximation method. The idea is to match the Taylor series expansion with the speed of the speed as soon as possible.
In this paper, the definitions of  Pade approximation, the definition of Baker and Frobenius are given and the formula of the Pade approximation are derived when  .
We calculated the Pade approximation of the functions  and  and analyzed the advantage compared with Taylor expansion.
Rational approximate formulas of Large deflection of buckling rod and Pendulum substantial movement cycle were obtained by using Pade approximation and the results were good.
The application of Pade approximation in numerical analysis filed. Volterra population model was formed based on the Logistic model incorporating integration formula to represent the effect of toxin accumulation on the species. The Volterra model was solved by using the Taylor expansion combining Pade approximation. The analytical approximate solutions were obtained and the effects of the model parameters were analyzed.
Keywords: Taylor series; Pade approximation; Large deflection of buckl-
ing rod; Pendulum substantial movement cycle;Volterra population model