| M.E.Shvez迭代解法及其在力学中的应用 |
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| 引用本文： | 袁镒吾,刘又文.M.E.Shvez迭代解法及其在力学中的应用[J].应用数学和力学,1996,17(7):661-666. |
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| 作者姓名： | 袁镒吾 刘又文 |
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| 作者单位： | 中南工业大学 长沙 410083 |
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| 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。
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| 关 键 词： | 迭代法 奇异摄动法 地球—月球—宇宙飞船 |
| 收稿时间： | 1994-05-06 |
M .E.Shvez lterative Method and its Application in Mechanics |
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| Yuan Yiwu Liu Youwen.M .E.Shvez lterative Method and its Application in Mechanics[J].Applied Mathematics and Mechanics,1996,17(7):661-666. |
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| Authors: | Yuan Yiwu Liu Youwen |
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| Institution: | Central South University of Technology, Changsha 410083, P. R. China |
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| Abstract: | Where there is contained small guantity tenned in differential equation, wemay solve it by using the M. E. Shvez iterative method.If the small quantity term has singularity. or in the certian region, thesmall quantity term is not small, using this mthod to solve such differntialequation, we may meet difficulties. In this paper, the author improves the M.E. Shvez method. Several examples are given to demonstrate foe algorithm. |
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| Keywords: | iterative method singular perturbation method earth-moon-spaceship problem |
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