改进的最佳摄动量法及在反问题中的应用  

The Improved Best Disturbed Iteration Method and Application of Inverse Problem

作　　者：彭亚绵[1] 杨爱民[1] 龚佃选[1] 阎少宏[1] 

机构地区：[1]河北理工大学理学院,河北唐山063009

出　　处：《数学的实践与认识》2011年第5期186-189,共4页Mathematics in Practice and Theory

基　　金：河北省自然基金(A2009000735)

摘　　要：给出了改进的最佳摄动量法,并应用在双曲型方程参数反演问题的求解中.由遗传算法借助交叉和变异算子控制全局搜索来获得参数的初始迭代值,代入最佳摄动量法求解出稳定的高精度数值解.The improved best disturbed iteration method is given in the text and applied in the inverse problem of hyperbolic partial differential equation parameter identified. The original iterated values are obtained through across gene and variance gene of GA, and put the original iterated values in the beginning of the best disturbed iteration method for the inverse problem, then can get the steady numerical solution of the parameter that need seek for.

关 键 词：遗传算法 参数反演 最佳摄动量法 双曲型方程 

分 类 号：O241.82[理学—计算数学]