摘要
利用频率的平方的展开式对一个改进的同伦摄动法做了修正,使得到的近似解中不含久期项,从而扩大了其有效范围.3个算例的近似解与数值解的比较表明该方法有效.
The power series of the square of the angular frequency is used to amend a modified homotopy perturbation method,then the approximate solutions have no secular term,therefore the solutions are valid for large wide range.Comparisons of the approximate solutions and numerical one for three examples show the efficiency of the method.
出处
《重庆文理学院学报（自然科学版）》
2010年第6期21-23,共3页
Journal of Chongqing University of Arts and Sciences
关键词
非线性无阻尼振动
同伦摄动法
近似解
nonlinear undamped oscillator
homotopy perturbation method
approximate solution
