一类扩散方程参数算子识别反问题的模拟退火算法  

Simulate Annealing Algorithm to Parameter Operator Identification of Inverse Problem for a Class of Diffusion Equation

作　　者：王燕[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《四川理工学院学报（自然科学版）》2007年第6期23-26,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：文章给出了利用模拟退火算法求解一类扩散方程的参数算子识别反问题的一种新方法。该方法把对于参数算子识别反问题转化为优化问题并用模拟退火算法进行求解。在Matlab语言环境下实现了该算法,并且与其他文献中用遗传算法求解的例子进行比较。数值模拟结果表明,该算法同样具有可行性和有效性,并且具有较高的精度。In this paper ,a new approach, which is based on simulated annealing algorithm for solving a class of diffusion equation of parameter operator identification of inverse problem, is presented. It transforms the parameter operator identification of inverse problem. It gives a solving example which compares the algorithm of this paper with the genetic algorithm in others literature under Matlab language. The results of numerical simulation indicate this algorithm similarly has practicability and availability. Simultaneously, it has high precision.

关 键 词：扩散方程 参数算子识别反问题 模拟退火算法 MATLAB 

分 类 号：O242.1[理学—计算数学]