| 一类二阶非线性振动方程的同伦摄动近似解 |
| |
| 引用本文： | 姜兆敏,曹毅. 一类二阶非线性振动方程的同伦摄动近似解[J]. 江苏技术师范学院学报, 2011, 17(10): 50-53 |
| |
| 作者姓名： | 姜兆敏 曹毅 |
| |
| 作者单位： | 江苏技术师范学院数理学院,江苏常州,213001 |
| |
| 摘 要： | 应用同伦摄动方法求解了一类二阶非线性振动方程的初值问题的近似周期解,并将近似解与方程的数值解进行了比较,验证了同伦摄动方法对求解非线性问题是一种很有效的方法。
|
| 关 键 词： | 同伦摄动方法 非线性 近似解 |
Approximations for a Quadratic Nonlinear Oscillator by Homotopy Perturbation Method |
| |
| JIANG Zhao-min,CAO Yi. Approximations for a Quadratic Nonlinear Oscillator by Homotopy Perturbation Method[J]. Journal of Jiangsu Teachers University of Technology, 2011, 17(10): 50-53 |
| |
| Authors: | JIANG Zhao-min CAO Yi |
| |
| Affiliation: | (School of Mathematics and Physics,Jiangsu Teachers University of Technology, Changzhou 213001,China) |
| |
| Abstract: | We obtain the first-order periodic approximations to a quadratic nonlinear oscillator by homotopy perturbation method.And we compare the approximations to the mumerical solutions.The results show the homotopy perturbation method is valid. |
| |
| Keywords: | homotopy perturbation method approximations nonlinear oscillator |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
