摘要
抛物型方程参数的反演在工程中有重要的应用价值,针对最佳摄动量法对初始模型依赖性的严重不足,给出遗传算法对最佳摄动量法的改进的新算法并进行了数值模拟.从模拟结果可以看到模拟结果与估算值曲线图基本吻合,体现了该方法的有效性和高精度性,且新算法弥补了对初始数据严重依赖的不足以及保证了区域收敛的全局性.
Numerical procedure for the solution of an inverse problem of determining unknown parameter in a parabolic equation is considered in this paper. Against the best perturbation method to model dependence of the initial serious shortcomings, the genetic algorithm is the best Perturbation Method initial model of the new algorithm. The new algorithm made up of the initial data on serious shortcomings and ensure overall regional convergence. The results from the numerical simulation results can be seen with estimates of the curve of the basic accord shows that the method is effective, and the precision of the overall situation.
出处
《应用数学与计算数学学报》
2009年第1期27-32,共6页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金(50579061)资助项目
关键词
遗传算法
最佳摄动量法
抛物型方程
inverse problem, genetic algorithms, the best perturbation method, parabolic equation
