应用HX方程逼近方法,具体讨论自治Lienard系统的求解,提出这类系统的简化HX方法。使用此方法求解自治Lienard系统时,逐片HX方程的系数表达式得到简化,能够减少其计算步骤,降低其运算的时间和空间复杂度。最后通过一个仿真实验验证了简化HX解法在求解Lienard系统时,具有较高的逼近精度,同时节约了计算时间。
By applying HX equation approximation method, a simplified HX equation approximation method in autonomous Lienard system is proposed. The novel method simplified coefficients of each HX equations, leads to little calculation, and the time complexity and space complexity is reduced. At last, the simulation results show that simplified HX equation approximation method in solving autonomous Lienard system is of high approximation precision, meanwhile the computing time is saved.