M．E．Shvez迭代解法及其在力学中的应用

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

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．

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.