M.E.Shvez迭代解法及其在力学中的应用

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

M. E. Shvez lterative Method and its Application in Mechanics

摘要: 当微分方程中含有微量项时,可用M.E.Shvez迭代法求解。但当微量项出现奇性,或在某一区间内微量项并非微量时。用此法求解将遇到困难。本文针对这类问题,把原M.E.Shvez迭代解法稍加改变。算例表明,用改进了的M.E.Shvez法求解上述问题。其精度比原M.E.Shvez法的有所提高。
- 迭代法 /
- 奇异摄动法 /
- 地球—月球—宇宙飞船
Abstract: When there is small quantity term contained in differential equation, we may solve if by using the M.E.Shvez iterative method. If foe small quantity term has singularity, of in foe certain region where foe small quantity term is not small, using this method to solve such differential equation, we may meet difficulties. In this paper,the author improves the M.E.Shvez method. Several examples are given to demonstrate the algorithm.
- iterative method /
- singular perturbation method /
- earth-moon-spaceship problem

[1]	钱伟长主编,《奇异摄动理论及其在力学中的应用》.科学出版社(1981),47-51
[2]	A.H,奈弗.《摄动方法》王辅俊等译.上海科技出版社(1984),85-86.
[3]	袁锰吾,平行平板间径向气流的Navier-Stokes方程的新的近似解,上海力学,2(1985),1-9