| 摘要: |
| 利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。数值算例结果表明，该方法的计算精度高于简单的同伦摄动方法，同经典的精细积分法相比．该方法计算量小，对时间步长不敏感，更适合于求解非线性问题。 |
| 关键词: 同伦摄动法 精细积分技术 非线性方程 |
| DOI：10.11841/j.issn.1007-4333.2004.04.111 |
| 修订日期：2003-12-07 |
| 基金项目:国家自然科学基金资助项目 ( 10 372 0 36 )，广东省自然科学基金资助项目 ( 0 2 1197) |
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| Asymptotic numerical method for nonlinear dynamic equations |
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| Abstract: |
| A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique. The result of numerical example showed that the new method was more accurate than the simple homotopy perturbation method. And the computational complexity was less than the traditional precise integration method. Furthermore, this method was not sensitive to the time step. It was thus suitable for solving nonlinear equations. |
| Key words: homotopy perturbation method,precise integration method,nonlinear equations |
