基于KL-DE算法的抛物型参数识别  

The Parameter Identification of Parabolic Equations Based on KL-DE Algorithm

作　　者：赵永胜[1] 王子亭[1] 

机构地区：[1]中国石油大学(华东)数学与计算科学学院,青岛266555

出　　处：《科学技术与工程》2011年第16期3762-3764,共3页Science Technology and Engineering

摘　　要：为了降低将抛物型参数的维数,把参数假定为协方差已知的随机函数,并进行Karhunen-Loeve法分解,然后利用遗传算法求解此反演问题。通过仿真结果表明,改进算法可为偏微分方程的参数识别提供一个有效的工具。In order to reduce dimension in the patameter inversion problems of parabolic equations,the patameter are assumed to be normal random functions with known covariance and decomposed by Karhunen-Loeve expansion,then obtain solutions by an differential evolution computational method.The simulated results show that the improved algorithm could provide an effective tool for the parameter identification of partial differential equations.

关 键 词：随机函数 Karhunen-Loeve法 差分进化算法 参数识别 

分 类 号：O241.82[理学—计算数学]