基于遗传算法的对流扩散方程逆时反问题的数值求解  

Numerical Solution of Inverse Problem in Time Based on Genetic Algorithms

作　　者：王燕[1] 左锦辉[1] 张小明[1] 

机构地区：[1]东华理工大学数学与信息科学院,江西抚州344000

出　　处：《河北理工大学学报（自然科学版）》2008年第2期87-91,共5页Journal of Hebei Polytechnic University:Social Science Edition

摘　　要：利用Tikhonov正则化方法解第一类Fredholm积分方程获得该逆时反问题的解,并结合遗传算法的优点给出了一种反演的例子。实例模拟结果表明,该方法具有精度高,收敛速度快且易于计算机实现等特点。This paper uses Tikhonov regulation method to solve the first kind Fredholm integral equation which gets the solution of the inverse problem in time,and based on the advantage of the genetic algorithms presents a example of inverse problem. The results of numerical simulation show that the method has high accuracy and quicker convergent speed than the existing methods and is easy to program and calculate.

关 键 词：正则化 积分方程 逆时反问题 遗传算法 对流扩散方程 

分 类 号：O242.23[理学—计算数学] O241.82[理学—数学]