| 用加权残余法求解含大参数的Duffing方程 |
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| 引用本文： | 何吉欢. 用加权残余法求解含大参数的Duffing方程[J]. 大学数学, 2000, 0(4) |
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| 作者姓名： | 何吉欢 |
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| 作者单位： | 上海大学!上海市应用数学和力学研究所，上海200072 |
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| 摘 要： | 本文应用加权残余法分析了含大参数的 Duffing方程 ,并得到了整个区域内 (0 <ε<∞ )一致有效的近似解 ,得到的近似周期的最大相对误差小于 7.0 % ,当参数为小量时 (ε 1 ) ,得到的近似解和摄动解完全一致 .
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| 关 键 词： | 加权残余法 Duffing方程 |
Approximate Solution for Duffing Equation with Large Parameter via Method of Weighted Residuals |
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| HE Ji huan. Approximate Solution for Duffing Equation with Large Parameter via Method of Weighted Residuals[J]. College Mathematics, 2000, 0(4) |
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| Authors: | HE Ji huan |
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| Abstract: | In this paper, the Duffing equation with very large parameter (0< ε <∞) is studied by the weighted residual method. The obtained results are valid not only for small parameter, but also for very large values of the parameter. Even when ε→∞ , the maximal relative error of the periodic is less than 7 0%. |
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| Keywords: | weighted residual method Duffing equation |
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