非线性振动方程的同伦摄动法求解

Homotopy perturbation method solution for nonlinear oscillation equation

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。

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.