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| Duffing方程的变分迭代解法 | |
| 引用本文： | 何吉欢. Duffing方程的变分迭代解法[J]. 计算物理, 1999, 16(2): 121-127 |
| 作者姓名： | 何吉欢 |
| 作者单位： | 上海大学, 上海市应用数学和力学研究所, 200072 |
| 基金项目： | 上海市高等学校青年科学基金项目资助 |
| 摘 要： | 应用变分迭代算法分析了Dufing方程的强迫振动,得到了整个区域内(0 < ε < ∞)一致有效的近似解,其近似周期的最大相对误差小于5.66%,并得到了在整个区域内一致有效的主共振和次共振频率。 |
| 关 键 词： | 摄动法 非线性 变分迭代算法 Duffing方程 |
| 收稿时间： | 1997-09-23 |
| 修稿时间： | 1998-10-09 |
A variational iteration method to duffing equation |
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| He Jihuan. A variational iteration method to duffing equation[J]. Chinese Journal of Computational Physics, 1999, 16(2): 121-127 | |
| Authors: | He Jihuan |
| Affiliation: | Shanghai University, Shanghai Institute of Applied Mathematics and mechanics, 200072 |
| Abstract: | The forced oscillation of Duffing equation is studied by a variational iteration method. As a result, a uniformly valid asymptotic approximation in the entire region (0 < ε < ∞) is obtained, the maximal relative error of the period obtained is less than 5.66%, and the obtained primary resonance and superharmonic resonances are also uniformly valid in the entire region. |
| Keywords: | Perturbation Method variational iteration method duffing equation |
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