| 非线性振动方程的同伦摄动法求解 |
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| 引用本文： | 胡云佳,李海洋,王廷廷.非线性振动方程的同伦摄动法求解[J].辽宁科技大学学报,2012,35(1):25-29. |
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| 作者姓名： | 胡云佳 李海洋 王廷廷 |
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| 作者单位： | 黑龙江省佳木斯市技术监督局检测中心,黑龙江佳木斯,154002;辽宁科技大学理学院,辽宁鞍山,114051 |
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| 摘 要： | 针对非线性振动方程,基于同伦摄动法给出了一种有效的近似解求法.通过与常见的LindstedtPoincare(L-P)方法以及Krylov方法的比较,表明同伦摄动法更为简单和有效.
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| 关 键 词： | 非线性振动方程 同伦摄动法 L-P方法 Krylov方法 |
Homotopy perturbation method solution for nonlinear oscillation equation |
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| HU Yun-jia
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LI Hai-yang
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WANG Ting-ting.Homotopy perturbation method solution for nonlinear oscillation equation[J].Journal of University of Science and Technology Liaoning,2012,35(1):25-29. |
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| Authors: | HU Yun-jia LI Hai-yang WANG Ting-ting |
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| Institution: | 1.Testing Center,Jiamusi Quality and Technical Supervision Bureau,Jiamushi 154002,China; 2.School of Science,University of Science and Technology Liaoning,Anshan 114051,China) |
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| Abstract: | An efficient numerical algorithm to find approximation solution for the system of nonlinear oscillation equation is given based on homotopy perturbation method.The result is compared with the results obtained by the Lindstedt-Poincare(L-P) perturbation method and Krylov method,and it shows that this method is very simple and effective. |
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| Keywords: | nonlinear oscillation equation homotopy perturbation method L-P method Krylov method |
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