基于等效小参量法原理的高准确度计算机符号分析算法  

High accurate symbolic algorithm based on the principle of equivalent small parameter method

作　　者：李献礼[1] 洗志妙[2] 丘水生[3] 陈艳锋[3] 

机构地区：[1]重庆涪陵师范学院,重庆408003 [2]广东肇庆学院,广东肇庆526062 [3]华南理工大学,广东广州510640

出　　处：《电路与系统学报》2005年第1期20-23,共4页Journal of Circuits and Systems

基　　金：重庆市优秀中青年骨干教师资助计划项目

摘　　要：应用等效小参量法时,主振荡仅包含基波的高阶微分方程解法的特点是求解过程相当简单,近似解的准确度高于传统的扰动法、KBM法、多尺度法、谐波平衡法等。基于等效小参量原理,本文深入研究了主振荡包含两个谐波的计算机符号算法,这种算法用于强非线性微分方程可得到更加准确的近似解析解,对于工程设计和科学计算均有重要意义和参考价值。Solving high order differential equation, with main oscillation including first order base band, by equivalent small parameter method, could be simple and convenient. Approximate solution is exacter than that by perturbation method, KBM method, the multiple scale method, harmonic balance method, etc. Based on the principle of equivalent small parameter method, symbolic algorithm with main oscillation including two harmonic is presented in the paper. The approximate analytic solution of strong nonlinear differential equation is exacter. The accurate results by dual harmonic algorithm have important referential value in the approximate computation of engineering

关 键 词：等效小参量法 主振荡 两个谐波 符号分析算法 

分 类 号：TM132[电气工程—电工理论与新技术]