| 求解一类非线性方程的改进的平均法 |
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| 引用本文： | 张宝善.求解一类非线性方程的改进的平均法[J].应用数学和力学,1994,15(12):1119-1126. |
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| 作者姓名： | 张宝善 |
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| 作者单位： | 徐州师范学院数学系 |
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| 摘 要： | 本文研究确定非线性方程一致有效近似解的平均法,得到B方法(Krylov-Bogoliubov method)与KBM方法(Krylov-Bogoliubov-Mitropolski method)的改进形式,通过两个例子与多尺度方法的比较,说明改进的平均法的有效性,从而拓广了平均法的应用范围。
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| 关 键 词： | KB方法 KBM方法 多尺度方法 一致有效解 |
| 收稿时间： | 1994-02-28 |
A Modified Method of Averaging for Solving a Class of Nonlinear Equations |
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| Zhang Bao-shan.A Modified Method of Averaging for Solving a Class of Nonlinear Equations[J].Applied Mathematics and Mechanics,1994,15(12):1119-1126. |
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| Authors: | Zhang Bao-shan |
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| Institution: | Departtment of Math, Xuzhou Teackers College, Xuzkou |
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| Abstract: | In this paper, we studied a method of averaging which decide a uniform valid solution for nonlinear equation and got the, modified forms for KB, method (Krylov-Bogoliubov method)and KBM method (Krytov-Bogoliubov-Mitropolski method). Through the comparison of two examples with the method of multiple scales it can be shown that the modifies averaging methods here are uniformly valid and there by the applied area of the method of averaging are extended. |
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| Keywords: | kB method BM method method of mulitple scales uniformly valid solution |
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