## 多级毕卡迭代法及其应用+文献综述

Multistage Picard iteration method and its application
Abstract: The effective range of some ordinary differential equations is small, only in a small area on the efficient solution, and when expanding a certain range the solution will perge, the paper aim at this problem, we adopt the effective range of multistage Picard iteration to expand the solution. Picard iteration method is often used to prove that the solution of differential equation existence and uniqueness, but also can be used to approximate analytic solution. This method can simplify the process, approximate exact solutions of the effect .In this essay, we use Mathematica to approximate solution for the problem and made all approximate solutions. Mainly pided into three steps: one is structuring iterative equation, the second is setting the initial value , three is make pictures for differential equation iteration value.
Key words: ordinary differential equations; Multistage Picard iteration method

1 绪论    1
2 毕卡迭代法    2
2.1 迭代法    2
2.2 毕卡简介    2
2.3 毕卡迭代法的应用举例    3
3 多级毕卡迭代的描述    4
4 多级毕卡迭代的求解基本步骤    6 源￥自%六^^维*论-文+网=www.lwfree.cn
5 方法的应用    8
6 结论    24

绪论

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