摘要
为了求解无小参数的非线性方程,可以在方程里引进一人工参数,再按人工参数展开,并同时应用Lindsedt-Poincare理论即可得到其很好的近似解。本文还阐述了如何确定最佳人工参数方程,几个实例表明这种方法是比较有效的。
in order to solve a nonlinear equationwithout small parameters, it is convenient to intro-duce an artificial parameter in the equation, thenthe approximate solution can be expressed as seriesof the artificial parameter just as traditional pertur-bation techniques do.Combining it with Lindstedt-Poincare technique leads to a more convenient re-sults with good accuracy.
出处
《力学与实践》
CSCD
北大核心
1999年第1期17-19,共3页
Mechanics in Engineering
关键词
奇异摄动
人工参数法
D-方程
L-P法
非线性方程
singular perturbation problems, artifi-cial parameter method, Lindstedt-Poincare method,Duffing equation